Alexander Volberg - Publications

Affiliations: 
Michigan State University, East Lansing, MI 
Area:
Mathematics

90 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2019 Holmes I, Ivanisvili P, Volberg A. The Sharp Constant in the Weak (1,1) Inequality for the Square Function: A New Proof Revista Matematica Iberoamericana. 36: 741-770. DOI: 10.4171/Rmi/1147  0.307
2019 Domelevo K, Ivanisvili P, Petermichl S, Treil S, Volberg A. On the failure of lower square function estimates in the non-homogeneous weighted setting Mathematische Annalen. 374: 1923-1952. DOI: 10.1007/S00208-018-1787-4  0.719
2018 Volberg A, Zorin-Kranich P. Sparse domination on non-homogeneous spaces with an application to $A_p$ weights Revista Matematica Iberoamericana. 34: 1401-1414. DOI: 10.4171/Rmi/1029  0.465
2018 Nazarov F, Reznikov A, Vasyunin V, Volberg A. On weak weighted estimates of the martingale transform and a dyadic shift Analysis & Pde. 11: 2089-2109. DOI: 10.2140/Apde.2018.11.2089  0.411
2017 Ivanisvili P, Volberg A. Improving Beckner's bound via Hermite functions Analysis & Pde. 10: 929-942. DOI: 10.2140/Apde.2017.10.929  0.369
2017 Ivanisvili P, Nazarov F, Volberg A. Hamming cube and martingales Comptes Rendus Mathematique. 355: 1072-1076. DOI: 10.1016/J.Crma.2017.09.013  0.382
2017 Nazarov F, Petermichl S, Treil S, Volberg A. Convex body domination and weighted estimates with matrix weights Advances in Mathematics. 318: 279-306. DOI: 10.1016/J.Aim.2017.08.001  0.763
2017 Smith W, Stolyarov DM, Volberg A. Uniform approximation of Bloch functions and the boundedness of the integration operator on H Advances in Mathematics. 314: 185-202. DOI: 10.1016/J.Aim.2017.04.028  0.368
2016 Volberg A. The proof of the nonhomogeneous T1 theorem via averaging of dyadic shifts St. Petersburg Mathematical Journal. 27: 399-413. DOI: 10.1090/Spmj/1395  0.313
2016 Treil S, Volberg A. Entropy conditions in two weight inequalities for singular integral operators Advances in Mathematics. 301: 499-548. DOI: 10.1016/J.Aim.2016.06.021  0.398
2016 Volberg A, Yuditskii P. Mean type of functions of bounded characteristic and Martin functions in Denjoy domains Advances in Mathematics. 290: 860-887. DOI: 10.1016/J.Aim.2015.12.012  0.304
2015 Ivanisvili P, Volberg A. Hessian of Bellman functions and uniqueness of the Brascamp-Lieb inequality Journal of the London Mathematical Society. 92: 657-674. DOI: 10.1112/Jlms/Jdv040  0.318
2015 Thiele C, Treil S, Volberg A. Weighted martingale multipliers in the non-homogeneous setting and outer measure spaces Advances in Mathematics. 285: 1155-1188. DOI: 10.1016/J.Aim.2015.08.019  0.436
2014 Nazarov F, Tolsa X, Volberg A. The riesz transform, rectifiability, and removability for lipschitz harmonic functions Publicacions Matematiques. 58: 517-532. DOI: 10.5565/Publmat_58214_26  0.315
2014 Hytönen T, Pérez C, Treil S, Volberg A. Sharp weighted estimates for dyadic shifts and the A2 conjecture Journal Fur Die Reine Und Angewandte Mathematik. 43-86. DOI: 10.1515/Crelle-2012-0047  0.362
2014 Bond M, Łaba I, Volberg A. Buffon's needle estimates for rational product cantor sets American Journal of Mathematics. 136: 357-391. DOI: 10.1353/Ajm.2014.0013  0.371
2014 Vasyunin V, Volberg A. Sharp constants in the classical weak form of the John-Nirenberg inequality Proceedings of the London Mathematical Society. 108: 1417-1434. DOI: 10.1112/Plms/Pdt063  0.344
2014 Pushnitski A, Volberg A. Scattering Theory and Banach Space Valued Singular Integrals International Mathematics Research Notices. 2014: 5667-5696. DOI: 10.1093/Imrn/Rnt137  0.352
2014 Cruz-Uribe D, Reznikov A, Volberg A. Logarithmic bump conditions and the two-weight boundedness of Calderón-Zygmund operators Advances in Mathematics. 255: 706-729. DOI: 10.1016/J.Aim.2014.01.016  0.486
2014 Nazarov F, Volberg A, Tolsa X. On the uniform rectifiability of AD-regular measures with bounded Riesz transform operator: the case of codimension 1 Acta Mathematica. 213: 237-321. DOI: 10.1007/S11511-014-0120-7  0.352
2013 Borichev A, Janakiraman P, Volberg A. On burkholder function for orthogonal martingales and zeros of legendre polynomials American Journal of Mathematics. 135: 207-236. DOI: 10.1353/Ajm.2013.0004  0.461
2013 Borichev A, Janakiraman P, Volberg A. Subordination by conformal martingales in Lp and zeros of Laguerre polynomials Duke Mathematical Journal. 162: 889-924. DOI: 10.1215/00127094-2081372  0.472
2013 Nazarov F, Volberg A. A simple sharp weighted estimate of the dyadic shifts on metric spaces with geometric doubling International Mathematics Research Notices. 2013: 3771-3789. DOI: 10.1093/Imrn/Rns159  0.427
2013 Jaye B, Nazarov F, Volberg A. The fractional riesz transform and an exponential potential St. Petersburg Mathematical Journal. 24: 903-938. DOI: 10.1090/S1061-0022-2013-01272-6  0.38
2013 Boros N, Székelyhidi L, Volberg A. Laminates meet Burkholder functions Journal Des Mathematiques Pures Et Appliquees. 100: 687-700. DOI: 10.1016/J.Matpur.2013.01.017  0.767
2013 Nazarov F, Reznikov A, Treil S, Volberg A. A Bellman function proof of the L2 bump conjecture Journal D'Analyse Mathematique. 121: 255-277. DOI: 10.1007/S11854-013-0035-9  0.334
2012 Pattakos N, Volberg A. The Muckenhoupt $A_{\infty}$ class as a metric space and continuity of weighted estimates Mathematical Research Letters. 19: 499-510. DOI: 10.4310/Mrl.2012.V19.N2.A20  0.801
2012 Bond M, Volberg A. Buffon's needle landing near besicovitch irregular self-similar sets Indiana University Mathematics Journal. 61: 2085-2109. DOI: 10.1512/Iumj.2012.61.4828  0.399
2012 Boros N, Janakiraman P, Volberg A. Sharp Lp -bounds for a small perturbation of Burkholders martingale transform Indiana University Mathematics Journal. 61: 751-773. DOI: 10.1512/Iumj.2012.61.4641  0.791
2012 Volberg A, Wick BD. Bergman-type singular integral operators and the characterization of Carleson measures for Besov-Sobolev spaces on the complex ball American Journal of Mathematics. 134: 949-992. DOI: 10.1353/Ajm.2012.0028  0.415
2012 Dragičević O, Volberg A. Linear dimension-free estimates in the embedding theorem for Schrödinger operators Journal of the London Mathematical Society. 85: 191-222. DOI: 10.1112/Jlms/Jdr036  0.821
2012 Pattakos N, Volberg A. Continuity of weighted estimates in A p norm Proceedings of the American Mathematical Society. 140: 2783-2790. DOI: 10.1090/S0002-9939-2011-11165-1  0.814
2012 Boros N, Janakiraman P, Volberg A. Perturbation of Burkholder's martingale transform and Monge-Ampère equation Advances in Mathematics. 230: 2198-2234. DOI: 10.1016/J.Aim.2012.03.035  0.785
2012 Pattakos N, Volberg A. The Muckenhoupt A ∞ class as a metric space and continuity of weighted estimates Mathematical Research Letters. 19: 499-510.  0.814
2011 Eiderman V, Volberg A. L2-norm and estimates from below for riesz transforms on cantor sets Indiana University Mathematics Journal. 60: 1077-1112. DOI: 10.1512/Iumj.2011.60.4304  0.392
2011 Nazarov F, Peres Y, Volberg A. The power law for the buffon needle probability of the four-corner cantor set St. Petersburg Mathematical Journal. 22: 61-72. DOI: 10.1090/S1061-0022-2010-01133-6  0.327
2011 Dragičević O, Volberg A. Bilinear embedding for real elliptic differential operators in divergence form with potentials Journal of Functional Analysis. 261: 2816-2828. DOI: 10.1016/J.Jfa.2011.07.013  0.809
2011 Pattakos N, Volberg A. A new weighted Bellman function Comptes Rendus Mathematique. 349: 1151-1154. DOI: 10.1016/J.Crma.2011.10.007  0.824
2011 Boros N, Janakiraman P, Volberg A. Sharp Lp-bounds for a perturbation of Burkholder's Martingale Transform Comptes Rendus Mathematique. 349: 303-307. DOI: 10.1016/J.Crma.2011.01.001  0.79
2011 Bond M, Volberg A. Circular Favard length of the four-corner cantor set Journal of Geometric Analysis. 21: 40-55. DOI: 10.1007/S12220-010-9141-4  0.338
2010 Bateman M, Volberg A. An estimate from below for the buffon needle probability of the four-corner Cantor set Mathematical Research Letters. 17: 959-967. DOI: 10.4310/Mrl.2010.V17.N5.A12  0.357
2010 Eiderman V, Nazarov F, Volberg A. Vector-valued Riesz potentials: Cartan-type estimates and related capacities Proceedings of the London Mathematical Society. 101: 727-758. DOI: 10.1112/Plms/Pdq003  0.415
2010 Pott S, Volberg A. Carleson measure and balayage International Mathematics Research Notices. 2010: 2427-2436. DOI: 10.1093/Imrn/Rnp222  0.356
2009 Peherstorfer F, Volberg A, Yuditskii P. CMV matrices with asymptotically constant coefficients. Szegö-Blaschke class, scattering theory Journal of Functional Analysis. 256: 2157-2210. DOI: 10.1016/J.Jfa.2008.12.009  0.33
2009 Mayboroda S, Volberg A. Finite square function implies integer dimension Comptes Rendus Mathematique. 347: 1271-1276. DOI: 10.1016/J.Crma.2009.09.020  0.351
2009 Mayboroda S, Volberg A. Boundedness of the square function and rectifiability Comptes Rendus Mathematique. 347: 1051-1056. DOI: 10.1016/J.Crma.2009.07.007  0.384
2009 Dragičević O, Volberg A. Bellman function and bilinear embedding theorem for Schrödinger-type operators Comptes Rendus Mathematique. 347: 537-540. DOI: 10.1016/J.Crma.2009.02.004  0.51
2009 Nazarov F, Peherstorfer F, Volberg A, Yuditskii P. Asymptotics of the best polynomial approximation of |χ|p and of the best laurent polynomial approximation of sgn(x) on two symmetric intervals Constructive Approximation. 29: 23-39. DOI: 10.1007/S00365-008-9007-1  0.376
2008 Nazarov F, Treil S, Volberg A. Two weight inequalities for individual Haar multipliers and other well localized operators Mathematical Research Letters. 15: 583-597. DOI: 10.4310/Mrl.2008.V15.N3.A16  0.415
2008 Dragičević O, Treil S, Volberg A. A theorem about three quadratic forms rnn072 International Mathematics Research Notices. 2008. DOI: 10.1093/Imrn/Rnn072  0.803
2007 Vasyunin V, Volberg A. The Bellman functions for a certain two-weight inequality: A case study St Petersburg Mathematical Journal. 18: 201-222. DOI: 10.1090/S1061-0022-07-00953-3  0.332
2007 Peherstorfer F, Volberg A, Yuditskii P. Two-weight Hilbert transform and Lipschitz property of Jacobi matrices associated to hyperbolic polynomials Journal of Functional Analysis. 246: 1-30. DOI: 10.1016/J.Jfa.2007.01.013  0.524
2006 Nazarov F, Volberg A, Yuditskii P. Asymptotics of orthogonal polynomials via the Koosis theorem Mathematical Research Letters. 13: 975-983. DOI: 10.4310/Mrl.2006.V13.N6.A12  0.363
2006 Peherstorfer F, Volberg A, Yuditskii P. Limit periodic Jacobi matrices with a prescribed p-adic hull and a singular continuous spectrum Mathematical Research Letters. 13: 215-230. DOI: 10.4310/Mrl.2006.V13.N2.A4  0.473
2006 Dragičević O, Petermichl S, Volberg A. A rotation method which gives linear Lp estimates for powers of the Ahlfors-Beurling operator Journal Des Mathematiques Pures Et Appliquees. 86: 492-509. DOI: 10.1016/J.Matpur.2006.10.005  0.793
2006 Peherstorfer F, Volberg A, Yuditskii P. Asymptotics of orthogonal polynomials beyond the scope of Szego's theorem Functional Analysis and Its Applications. 40: 264-272. DOI: 10.1007/S10688-006-0043-Y  0.347
2006 Dragičevič O, Volberg A. Bellman functions and dimensionless estimates of Littlewood-paley type Journal of Operator Theory. 56: 167-198.  0.37
2005 Dragičević O, Volberg A. Bellman function, littlewood-paley estimates and asymptotics for the Ahlfors-Beurling operator in Lp(ℂ) Indiana University Mathematics Journal. 54: 971-995. DOI: 10.1512/Iumj.2005.54.2554  0.82
2005 Nazarov F, Peherstorfer F, Volberg A, Yuditskii P. On generalized sum rules for Jacobi matrices International Mathematics Research Notices. 155-186. DOI: 10.1155/Imrn.2005.155  0.359
2005 Finet C, Queffélec H, Volberg A. Erratum to “Compactness of composition operators on a Hilbert space of Dirichlet series” [J. Funct. Anal. 211 (2004) 271–287] Journal of Functional Analysis. 220: 237. DOI: 10.1016/J.Jfa.2004.10.012  0.374
2005 Dragičević O, Volberg A. Bellman function for the estimates of Littlewood-Paley type and asymptotic estimates in the p - 1 problem Comptes Rendus Mathematique. 340: 731-734. DOI: 10.1016/J.Crma.2005.03.021  0.82
2004 Nazarov F, Sodin M, Volberg A. Lower bounds for quasianalytic functions, I. How to control smooth functions Mathematica Scandinavica. 95: 59-79. DOI: 10.7146/Math.Scand.A-14449  0.371
2004 Volberg A, Nazarov F. Heating of the Ahlfors–Beurling operator, and estimates of its norm St Petersburg Mathematical Journal. 15: 563-573. DOI: 10.1090/S1061-0022-04-00822-2  0.385
2004 Borichev A, Hedenmalm H, Volberg A. Large Bergman spaces: Invertibility, cyclicity, and subspaces of arbitrary index Journal of Functional Analysis. 207: 111-160. DOI: 10.1016/S0022-1236(03)00193-9  0.366
2004 Finet C, Queffélec H, Volberg A. Compactness of composition operators on a Hilbert space of Dirichlet series Journal of Functional Analysis. 211: 271-287. DOI: 10.1016/J.Jfa.2004.01.003  0.463
2004 Petermichl S, Treil S, Volberg A. Why the riesz transforms are averages of the dyadic shifts? Publicacions Matematiques. 48: 209-228.  0.71
2004 Gillespie TA, Pott S, Treil S, Volberg A. Logarithmic growth for weighted Hilbert transforms and vector Hankel operators Journal of Operator Theory. 52: 103-112.  0.332
2003 Dragičević O, Volberg A. Sharp Estimate of the Ahlfors-Beurling Operator via Averaging Martingale Transforms Michigan Mathematical Journal. 51: 415-435. DOI: 10.1307/Mmj/1060013205  0.799
2003 Nazarov F, Sodin M, Volberg A. Local dimension-free estimates for volumes of sublevel sets of analytic functions Israel Journal of Mathematics. 133: 269-283. DOI: 10.1007/Bf02773070  0.36
2003 Nazarov F, Treil S, Volberg A. The Tb -theorem on non-homogeneous spaces Acta Mathematica. 190: 151-239. DOI: 10.1007/Bf02392690  0.372
2002 Petermichl S, Treil S, Volberg A. Why the Riesz transforms are averages of the dyadic shifts Publicacions Matematiques. 46: 209-228. DOI: 10.5565/Publmat_Esco02_10  0.727
2002 Nazarov F, Pisier G, Treil S, Volberg A. Sharp estimates in vector Carleson imbedding theorem and for vector paraproducts Crelle's Journal. 2002: 147-171. DOI: 10.1515/Crll.2002.004  0.386
2002 Petermichl S, Volberg A. Heating of the Ahlfors-Beurling operator: Weakly quasiregular maps on the plane are quasiregular Duke Mathematical Journal. 112: 281-305. DOI: 10.1215/S0012-9074-02-11223-X  0.759
2002 Nazarov F, Treil S, Volberg A. Accretive system Tb-theorems on nonhomogeneous spaces Duke Mathematical Journal. 113: 259-312. DOI: 10.1215/S0012-7094-02-11323-4  0.429
2002 Finet C, Queffélec H, Volberg A. Numerical range and compacity of some composition operators on a Hilbert space of Dirichlet series Comptes Rendus Mathematique. 335: 325-328. DOI: 10.1016/S1631-073X(02)02483-4  0.367
2002 Esterle J, Volberg A. Asymptotically holomorphic functions and translation invariant subspaces of weighted hilbert spaces of sequences Annales Scientifiques De L'Ecole Normale Superieure. 35: 185-230. DOI: 10.1016/S0012-9593(02)01088-1  0.383
2002 Volberg A, Yuditskii P. On the inverse scattering problem for Jacobi matrices with the spectrum on an interval, a finite system of intervals or a cantor set of positive length Communications in Mathematical Physics. 226: 567-605. DOI: 10.1007/S002200200623  0.334
2002 Nazarov F, Volberg A. The bellman function, the two-weight hilbert transform, and embeddings of the model spaces Kθ Journal D'Analyse Mathematique. 87: 385-414. DOI: 10.1007/Bf02868482  0.413
2001 Gillespie TA, Pott S, Treil S, Volberg A. Logarithmic growth for matrix martingale transforms Journal of the London Mathematical Society. 64: 624-636.  0.348
1999 Nazarov F, Treil S, Volberg A. The Bellman functions and two-weight inequalities for Haar multipliers Journal of the American Mathematical Society. 12: 909-928. DOI: 10.1090/S0894-0347-99-00310-0  0.332
1998 Nazarov F, Treil S, Volberg A. Weak type estimates and Cotlar inequalities for Calderón-Zygmund operators on nonhomogeneous spaces International Mathematics Research Notices. 1998: 463-487. DOI: 10.1155/S1073792898000312  0.431
1998 Nazarov F, Treil S, Volberg A. Weak Type Estimates and Cotlar Inequalities for Calderón-Zygmund Operators on Nonhomogeneous Spaces International Mathematics Research Notices. 462-487.  0.341
1997 Treil S, Volberg A, Zheng D. Hilbert transform, Toeplitz operators and Hankel operators and invariant A∞ weights. Revista Matematica Iberoamericana. 13: 319-360. DOI: 10.4171/Rmi/223  0.451
1997 Nazarov F, Treil S, Volberg A. Cauchy integral and Calderón-Zygmund operators on nonhomogeneous spaces International Mathematics Research Notices. 1997: 703-726. DOI: 10.1155/S1073792897000469  0.369
1997 Volberg A. Matrix _{} weights via -functions Journal of the American Mathematical Society. 10: 445-466. DOI: 10.1090/S0894-0347-97-00233-6  0.304
1997 Nazarov F, Treil S, Volberg A. Counterexample to the infinite dimensional Carleson embedding theorem Comptes Rendus De L'Academie Des Sciences - Series I: Mathematics. 325: 383-388. DOI: 10.1016/S0764-4442(97)85621-2  0.413
1997 Treil S, Volberg A. Continuous frame decomposition and a vector Hunt-Muckenhoupt-Wheeden theorem Arkiv FöR Matematik. 35: 363-386. DOI: 10.1007/Bf02559975  0.335
1997 Treil S, Volberg A. Wavelets and the Angle between Past and Future Journal of Functional Analysis. 143: 269-308. DOI: 10.1006/Jfan.1996.2986  0.389
1997 Treil S, Volberg A, Zheng D. Hilbert transform, Toeplitz operators and Hankel operators, and invariant A weights Revista Matematica Iberoamericana. 13: 319-360.  0.359
1995 Volberg A. An estimate from below for the Markov constant of a Cantor repeller Banach Center Publications. 31: 383-390. DOI: 10.4064/-31-1-383-390  0.375
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