Steve Hofmann - Publications

Affiliations: 
University of Missouri - Columbia, Columbia, MO, United States 
Area:
Mathematics

54 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
2020 Barton A, Hofmann S, Mayboroda S. Nontangential Estimates on Layer Potentials and the Neumann Problem for Higher-Order Elliptic Equations International Mathematics Research Notices. DOI: 10.1093/Imrn/Rnaa051  0.301
2020 Cavero J, Hofmann S, Martell JM, Toro T. Perturbations of elliptic operators in 1-sided chord-arc domains. Part II: Non-symmetric operators and Carleson measure estimates Transactions of the American Mathematical Society. 1. DOI: 10.1090/Tran/8148  0.344
2020 Genschaw A, Hofmann S. A Weak Reverse Hölder Inequality for Caloric Measure Journal of Geometric Analysis. 30: 1530-1564. DOI: 10.1007/S12220-019-00212-4  0.413
2020 Genschaw A, Hofmann S. BMO Solvability and Absolute Continuity of Caloric Measure Potential Analysis. 1-19. DOI: 10.1007/S11118-020-09833-9  0.389
2020 Azzam J, Hofmann S, Martell JM, Mourgoglou M, Tolsa X. Harmonic measure and quantitative connectivity: geometric characterization of the $L^p$-solvability of the Dirichlet problem Inventiones Mathematicae. 1-113. DOI: 10.1007/S00222-020-00984-5  0.396
2019 Akman M, Bortz S, Hofmann S, Martell JM. Rectifiability, interior approximation and harmonic measure Arkiv FöR Matematik. 57: 1-22. DOI: 10.4310/Arkiv.2019.V57.N1.A1  0.398
2019 Hofmann S, Le P, Morris AJ. Carleson measure estimates and the Dirichlet problem for degenerate elliptic equations Analysis & Pde. 12: 2095-2146. DOI: 10.2140/Apde.2019.12.2095  0.422
2019 Hofmann S. Quantitative Absolute Continuity of Harmonic Measure and the Dirichlet Problem: A Survey of Recent Progress Acta Mathematica Sinica. 35: 1011-1026. DOI: 10.1007/S10114-019-8444-Z  0.393
2018 Cavero J, Hofmann S, Martell JM. Perturbations of elliptic operators in 1-sided chord-arc domains. Part I: Small and large perturbation for symmetric operators Transactions of the American Mathematical Society. 371: 2797-2835. DOI: 10.1090/Tran/7536  0.317
2018 Hofmann S, Le P. BMO Solvability and Absolute Continuity of Harmonic Measure Journal of Geometric Analysis. 28: 3278-3299. DOI: 10.1007/S12220-017-9959-0  0.394
2017 Bortz S, Hofmann S. Harmonic measure and approximation of uniformly rectifiable sets Revista Matematica Iberoamericana. 33: 351-373. DOI: 10.4171/Rmi/940  0.363
2017 Hofmann S, Le L, Martell JM, Nyström K. The weak-A∞ property of harmonic and p-harmonic measures implies uniform rectifiability Analysis & Pde. 10: 513-558. DOI: 10.2140/Apde.2017.10.513  0.36
2017 Akman M, Badger M, Hofmann S, Martell JM. Rectifiability and elliptic measures on 1-sided NTA domains with Ahlfors-David regular boundaries Transactions of the American Mathematical Society. 369: 5711-5745. DOI: 10.1090/Tran/6927  0.419
2017 Hofmann S, Martell JM, Toro T. A∞ implies NTA for a class of variable coefficient elliptic operators Journal of Differential Equations. 263: 6147-6188. DOI: 10.1016/J.Jde.2017.06.028  0.376
2017 Barton A, Hofmann S, Mayboroda S. The Neumann problem for higher order elliptic equations with symmetric coefficients Mathematische Annalen. 371: 297-336. DOI: 10.1007/S00208-017-1606-3  0.399
2017 Barton A, Hofmann S, Mayboroda S. Square function estimates on layer potentials for higher-order elliptic equations Mathematische Nachrichten. 290: 2459-2511. DOI: 10.1002/Mana.201600116  0.36
2016 Chen YP, Ding Y, Hofmann S. The commutator of the Kato square root for second order elliptic operators on ℝn Acta Mathematica Sinica, English Series. 32: 1121-1144. DOI: 10.1007/S10114-016-5719-5  0.35
2016 Azzam J, Hofmann S, Martell JM, Mayboroda S, Mourgoglou M, Tolsa X, Volberg A. Rectifiability of harmonic measure Geometric and Functional Analysis. 1-26. DOI: 10.1007/S00039-016-0371-X  0.319
2015 Hofmann S, Mitrea M, Taylor ME. Symbol calculus for operators of layer potential type on Lipschitz surfaces with VMO normals, and related pseudodifferential operator calculus Analysis and Pde. 8: 115-181. DOI: 10.2140/Apde.2015.8.115  0.387
2015 Gesztesy F, Hofmann S, Nichols R. Stability of square root domains associated with elliptic systems of PDEs on nonsmooth domains Journal of Differential Equations. 258: 1749-1764. DOI: 10.1016/J.Jde.2014.11.012  0.388
2015 Azzam J, Hofmann S, Martell JM, Mayboroda S, Mourgoglou M, Tolsa X, Volberg A. Harmonic measure is rectifiable if it is absolutely continuous with respect to the co-dimension-one Hausdorff measure Comptes Rendus Mathematique. DOI: 10.1016/J.Crma.2016.01.012  0.704
2015 Hofmann S, Mayboroda S, Mourgoglou M. Layer potentials and boundary value problems for elliptic equations with complex L coefficients satisfying the small Carleson measure norm condition Advances in Mathematics. 270: 480-564. DOI: 10.1016/J.Aim.2014.11.009  0.726
2015 Hofmann S, Kenig C, Mayboroda S, Pipher J. The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients Mathematische Annalen. 361: 863-907. DOI: 10.1007/S00208-014-1087-6  0.388
2014 Hofmann S, Mitrea D, Mitrea M, Morris AJ. Square function estimates in spaces of homogeneous type and on uniformly rectifiable Euclidean sets Electronic Research Announcements in Mathematical Sciences. 21: 8-18. DOI: 10.3934/Era.2014.21.8  0.347
2014 Hofmann S, Mitrea M, Morris AJ. The method of layer potentials in Lp and endpoint spaces for elliptic operators with L coefficients Proceedings of the London Mathematical Society. 111: 681-716. DOI: 10.1112/Plms/Pdv035  0.413
2014 Hofmann S, Kenig C, Mayboroda S, Pipher J. Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators Journal of the American Mathematical Society. 28: 483-529. DOI: 10.1090/S0894-0347-2014-00805-5  0.454
2013 Duong XT, Hofmann S, Mitrea D, Mitrea M, Yan L. Hardy spaces and regularity for the inhomogeneous Dirichlet and Neumann problems Revista Matematica Iberoamericana. 29: 183-236. DOI: 10.4171/Rmi/718  0.417
2013 Hofmann S, Martell JM, Mayboroda S. Uniform Rectifiability and Harmonic Measure III: Riesz Transform Bounds Imply Uniform Rectifiability of Boundaries of 1-sided NTA Domains International Mathematics Research Notices. 2014: 2702-2729. DOI: 10.1093/Imrn/Rnt002  0.367
2012 Hofmann S, Martell JM. A∞ estimates via extrapolation of carleson measures and applications to divergence form elliptic operators Transactions of the American Mathematical Society. 364: 65-101. DOI: 10.1090/S0002-9947-2011-05397-3  0.307
2011 Hofmann S, Mitrea M, Monniaux S. Riesz transforms associated with the hodge laplacian in lipschitz subdomains of riemannian manifolds Annales De L'Institut Fourier. 61: 1323-1349. DOI: 10.5802/Aif.2642  0.337
2011 Hofmann S, Mayboroda S, McIntosh A. Second order elliptic operators with complex bounded measurable coefficients in $L^p$, Sobolev and Hardy spaces Annales Scientifiques De L'éCole Normale SupéRieure. 44: 723-800. DOI: 10.24033/Asens.2154  0.4
2011 Alfonseca MA, Auscher P, Axelsson A, Hofmann S, Kim S. Analyticity of layer potentials and L2 solvability of boundary value problems for divergence form elliptic equations with complex L∞ coefficients Advances in Mathematics. 226: 4533-4606. DOI: 10.1016/J.Aim.2010.12.014  0.38
2010 Hofmann S, Mitrea M, Taylor M. Singular integrals and elliptic boundary problems on regular Semmes-Kenig-Toro domains International Mathematics Research Notices. 2010: 2567-2865. DOI: 10.1093/Imrn/Rnp214  0.364
2009 Hofmann S, Mayboroda S. Hardy and BMO spaces associated to divergence form elliptic operators Mathematische Annalen. 344: 37-116. DOI: 10.1007/S00208-008-0295-3  0.376
2009 Hofmann S, Marmolejo-Olea E, Mitrea M, Pérez-Esteva S, Taylor M. Hardy spaces, singular integrals and the geometry of Euclidean domains of locally finite perimeter Geometric and Functional Analysis. 19: 842-882. DOI: 10.1007/S00039-009-0015-5  0.349
2008 Auscher P, Axelsson A, Hofmann S. Functional calculus of Dirac operators and complex perturbations of Neumann and Dirichlet problems Journal of Functional Analysis. 255: 374-448. DOI: 10.1016/J.Jfa.2008.02.007  0.397
2007 Hofmann S, Kim S. The Green function estimates for strongly elliptic systems of second order Manuscripta Mathematica. 124: 139-172. DOI: 10.1007/S00229-007-0107-1  0.326
2005 Hofmann S, Lewis JL. The Lp Neumann problem for the heat equation in non-cylindrical domains Journal of Functional Analysis. 220: 1-54. DOI: 10.1016/J.Jfa.2004.10.016  0.315
2004 Hofmann S, Kim S. Gaussian estimates for fundamental solutions to certain parabolic systems. Publicacions Matematiques. 48: 481-496. DOI: 10.5565/Publmat_48204_10  0.3
2003 Hofmann S, Martell JM. Lp bounds for Riesz transforms and square roots associated to second order elliptic operators Publicacions Matematiques. 47: 497-515. DOI: 10.5565/Publmat_47203_12  0.391
2003 Hofmann S, Lewis J, Mitrea M. Spectral properties of parabolic layer potentials and transmission boundary problems in nonsmooth domains Illinois Journal of Mathematics. 47: 1345-1361. DOI: 10.1215/Ijm/1258138108  0.365
2003 Brandolini L, Hofmann S, Iosevich A. Sharp rate of average decay of the Fourier transform of a bounded set Geometric and Functional Analysis. 13: 671-680. DOI: 10.1007/S00039-003-0426-7  0.315
2002 Hofmann S, McIntosh A. The solution of the Kato problem in two dimensions Publicacions Matematiques. 46: 143-160. DOI: 10.5565/Publmat_Esco02_06  0.343
2002 Auscher P, Hofmann S, Lacey M, McIntosh A, Tchamitchian P. The solution of the Kato square root problem for second order elliptic operators on Rn Annals of Mathematics. 156: 633-654. DOI: 10.2307/3597201  0.393
2002 Hofmann S, Lacey M, McIntosh A. The Solution of the Kato Problem for Divergence Form Elliptic Operators with Gaussian Heat Kernel Bounds Annals of Mathematics. 156: 623-631. DOI: 10.2307/3597200  0.367
2001 Hofmann S, Lewis JL. Square functions of Calderón type and applications Revista Matematica Iberoamericana. 17: 1-20. DOI: 10.4171/Rmi/287  0.387
2001 Hofmann S, Lewis JL. The Dirichlet problem for parabolic operators with singular drift terms Memoirs of the American Mathematical Society. 151: 0-0. DOI: 10.1090/Memo/0719  0.334
2001 Auscher P, Hofmann S, Lacey M, Lewis J, McIntosh A, Tchamitchian P. The solution of Kato's conjectures Comptes Rendus De L Academie Des Sciences Serie I-Mathematique. 332: 601-606. DOI: 10.1016/S0764-4442(01)01893-6  0.308
2001 Auscher P, Hofmann S, McIntosh A, Tchamitchian P. The Kato square root problem for higher order elliptic operators and systems on $ \Bbb R^n $ Journal of Evolution Equations. 1: 361-385. DOI: 10.1007/Pl00001377  0.381
2001 Auscher P, Hofmann S, Lewis JL, Tchamitchian P. Extrapolation of Carleson measures and the analyticity of Kato's square-root operators Acta Mathematica. 187: 161-190. DOI: 10.1007/Bf02392615  0.324
1998 Hofmann S. An Off-DiagonalT1 Theorem and Applications Journal of Functional Analysis. 160: 581-622. DOI: 10.1006/Jfan.1998.3323  0.351
1997 Hofmann S. Parabolic singular integrals of Calderón-type, rough operators, and caloric layer potentials Duke Mathematical Journal. 90: 209-259. DOI: 10.1215/S0012-7094-97-09008-6  0.304
1994 Hofmann S. On singular integrals of Calderón-type in Rn and BMO Revista Matematica Iberoamericana. 10: 467-505. DOI: 10.4171/Rmi/159  0.329
1994 Hofmann S. On certain nonstandard Calderón-Zygmund operators Studia Mathematica. 109: 105-131. DOI: 10.4064/Sm-109-2-105-131  0.303
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