Edit Profile Hofmann, Steve Compute Distance To: Compute Author ID: hofmann.steve Published as: Hofmann, S.; Hofmann, Steve; Hofmann, Steven External Links: MGP · Wikidata · GND Documents Indexed: 101 Publications since 1988, including 3 Books all top 5 Co-Authors 21 single-authored 18 Martell, José María (Chema) 13 Mayboroda, Svitlana 12 Lewis, John L. 11 Mitrea, Marius 9 Auscher, Pascal 7 McIntosh, Alan 5 Nyström, Kaj 4 Azzam, Jonas 4 Barton, Ariel 4 Bortz, Simon 4 Mitrea, Dorina 4 Morris, Andrew Joel 4 Mourgoglou, Mihalis 4 Taylor, Michael Eugene 4 Tchamitchian, Philippe 3 Gesztesy, Fritz 3 Iosevich, Alex 3 Kim, Seick 3 Lacey, Michael T. 3 Le, Phi 3 Nichols, Roger 3 Tolsa, Xavier 3 Toro, Tatiana 2 Akman, Murat 2 Axelsson, Andreas 2 Cavero, Juan 2 Duong, Xuan Thinh 2 Grau de la Herrán, Ana 2 Kenig, Carlos Eduardo 2 Pipher, Jill Catherine 2 Volberg, Alexander Lvovich 2 Yan, Lixin 1 Alfonseca-Cubero, María de los Ángeles 1 Badger, Matthew 1 Brandolini, Luca 1 Carbery, Anthony 1 Chen, Yanping 1 Coulhon, Thierry 1 Ding, Yong 1 Escauriaza Zubiria, Luis 1 Genschaw, Alyssa 1 Han, Yingshuai 1 Li, Xinwei 1 Lu, Guozhen 1 Marmolejo-Olea, Emilio 1 Monniaux, Sylvie 1 Muscalu, Camil 1 Pérez-Esteva, Salvador 1 Tao, Terence 1 Thiele, Christoph Martin 1 Uriarte-Tuero, Ignacio 1 Weidinger, D. 1 Wright, James Robert 1 Yang, Dachun all top 5 Serials 8 Proceedings of the American Mathematical Society 6 Transactions of the American Mathematical Society 4 Duke Mathematical Journal 4 Revista Matemática Iberoamericana 4 Publicacions Matemàtiques 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Journal of Functional Analysis 3 Mathematische Annalen 3 Memoirs of the American Mathematical Society 3 Proceedings of the London Mathematical Society. Third Series 3 The Journal of Geometric Analysis 3 Geometric and Functional Analysis. GAFA 3 Annals of Mathematics. Second Series 3 Analysis & PDE 2 Studia Mathematica 2 Advances in Mathematics 2 Annales de l’Institut Fourier 2 Illinois Journal of Mathematics 2 Journal of Differential Equations 2 Mathematika 2 IMRN. International Mathematics Research Notices 2 Acta Mathematica Sinica. English Series 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Arkiv för Matematik 1 Acta Mathematica 1 Canadian Mathematical Bulletin 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Michigan Mathematical Journal 1 Journal of the American Mathematical Society 1 Potential Analysis 1 Methods and Applications of Analysis 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Methods of Functional Analysis and Topology 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Evolution Equations 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Electronic Research Announcements in Mathematical Sciences 1 Bulletin of Mathematical Sciences all top 5 Fields 68 Harmonic analysis on Euclidean spaces (42-XX) 60 Partial differential equations (35-XX) 25 Potential theory (31-XX) 19 Operator theory (47-XX) 12 Measure and integration (28-XX) 7 Functional analysis (46-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Functions of a complex variable (30-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 87 Publications have been cited 1,617 times in 794 Documents Cited by ▼ Year ▼ The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\). Zbl 1128.35316Auscher, Pascal; Hofmann, Steve; Lacey, Michael; McIntosh, Alan; Tchamitchian, Ph. 135 2002 Hardy and BMO spaces associated to divergence form elliptic operators. Zbl 1162.42012Hofmann, Steve; Mayboroda, Svitlana 127 2009 Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates. Zbl 1232.42018Hofmann, Steve; Lu, Guozhen; Mitrea, Dorina; Mitrea, Marius; Yan, Lixin 125 2011 Riesz transform on manifolds and heat kernel regularity. Zbl 1086.58013Auscher, Pascal; Coulhon, Thierry; Duong, Xuan Thinh; Hofmann, Steve 108 2004 Second order elliptic operators with complex bounded measurable coefficients in \(L^p\), Sobolev and Hardy spaces. Zbl 1243.47072Hofmann, Steve; Mayboroda, Svitlana; McIntosh, Alan 66 2011 \(L^p\) bounds for Riesz transforms and square roots associated to second order elliptic operators. Zbl 1074.35031Hofmann, Steve; Martell, José María 59 2003 Analyticity of layer potentials and \(L^{2}\) solvability of boundary value problems for divergence form elliptic equations with complex \(L^{\infty }\) coefficients. Zbl 1217.35056Alfonseca, M. Angeles; Auscher, Pascal; Axelsson, Andreas; Hofmann, Steve; Kim, Seick 49 2011 The Green function estimates for strongly elliptic systems of second order. Zbl 1130.35042Hofmann, Steve; Kim, Seick 49 2007 Singular integrals and elliptic boundary problems on regular Semmes-Kenig-Toro. Zbl 1221.31010Hofmann, Steve; Mitrea, Marius; Taylor, Michael 39 2010 Carleson measures, trees, extrapolation, and \(T(b)\) theorems. Zbl 1027.42009Auscher, P.; Hofmann, S.; Muscalu, Camil; Tao, Terence C.; Thiele, Christoph 38 2002 Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators. Zbl 1326.42028Hofmann, Steve; Kenig, Carlos; Mayboroda, Svitlana; Pipher, Jill 36 2015 \(L^ 2\) solvability and representation by caloric layer potentials in time-varying domains. Zbl 0867.35037Hofmann, Steve; Lewis, John L. 33 1996 The Kato square root problem for higher order elliptic operators and systems on \(\mathbb{R}^n\). Zbl 1019.35029Auscher, Pascal; Hofmann, Steve; McIntosh, Alan; Tchamitchian, Philippe 31 2001 Geometric and transformational properties of Lipschitz domains, Semmes-Kenig-Toro domains, and other classes of finite perimeter domains. Zbl 1142.49021Hofmann, Steve; Mitrea, Marius; Taylor, Michael 29 2007 Uniform rectifiability and harmonic measure. I: Uniform rectifiability implies Poisson kernels in \(L^p\). Zbl 1302.31007Hofmann, Steve; Martell, José María 28 2014 Functional calculus of Dirac operators and complex perturbations of Neumann and Dirichlet problems. Zbl 1157.35028Auscher, Pascal; Axelsson, Andreas; Hofmann, Steve 27 2008 Extrapolation of Carleson measures and the analyticity of Kato’s square-root operators. Zbl 1163.35346Auscher, Pascal; Hofmann, Steve; Lewis, John L.; Tchamitchian, Philippe 27 2001 The Dirichlet problem for parabolic operators with singular drift terms. Zbl 1149.35048Hofmann, Steve; Lewis, John L. 25 2001 The solution of the Kato problem for divergence from elliptic operators with Gaussian heat kernel bounds. Zbl 1128.35317Hofmann, Steve; Lacey, Michael; McIntosh, Alan 24 2002 Uniform rectifiability and harmonic measure. II: Poisson kernels in \(L^p\) imply uniform rectifiability. Zbl 1323.31008Hofmann, Steve; Martell, José María; Uriarte-Tuero, Ignacio 23 2014 Hardy spaces and regularity for the inhomogeneous Dirichlet and Neumann problems. Zbl 1263.35080Duong, Xuan Thinh; Hofmann, Steve; Mitrea, Dorina; Mitrea, Marius; Yan, Lixin 21 2013 Parabolic singular integrals of Calderón-type, rough operators, and caloric layer potentials. Zbl 0941.42006Hofmann, Steve 21 1997 A new characterization of chord-arc domains. Zbl 1366.28004Azzam, Jonas; Hofmann, Steve; Martell, José María; Nyström, Kaj; Toro, Tatiana 20 2017 Rectifiability of harmonic measure. Zbl 1354.31004Azzam, Jonas; Hofmann, Steve; Martell, José María; Mayboroda, Svitlana; Mourgoglou, Mihalis; Tolsa, Xavier; Volberg, Alexander 20 2016 The method of layer potentials in \(L^{p}\) and endpoint spaces for elliptic operators with \(L^{\infty}\) coefficients. Zbl 1323.31011Hofmann, Steve; Mitrea, Marius; Morris, Andrew J. 19 2015 Sharp rate of average decay of the Fourier transform of a bounded set. Zbl 1032.42017Brandolini, L.; Hofmann, S.; Iosevich, A. 19 2003 The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients. Zbl 1325.42028Hofmann, Steve; Kenig, Carlos; Mayboroda, Svitlana; Pipher, Jill 18 2015 Layer potentials and boundary value problems for elliptic equations with complex \(L^\infty\) coefficients satisfying the small Carleson measure norm condition. Zbl 1311.35074Hofmann, Steve; Mayboroda, Svitlana; Mourgoglou, Mihalis 18 2015 On certain nonstandard Calderón-Zygmund operators. Zbl 0826.42012Hofmann, Steve 18 1994 Vertical versus conical square functions. Zbl 1275.42028Auscher, Pascal; Hofmann, Steve; Martell, José-María 17 2012 Caloric measure in parabolic flat domains. Zbl 1074.35041Hofmann, Steve; Lewis, John L.; Nyström, Kaj 17 2004 Weighted norm inequalities and vector valued inequalities for certain rough operators. Zbl 0804.42010Hofmann, Steve 17 1993 Gaussian estimates for fundamental solutions to certain parabolic systems. Zbl 1061.35023Hofmann, Steve; Kim, Seick 16 2004 The solution of the Kato problem in two dimensions. Zbl 1020.47031Hofmann, Steve; McIntosh, Alan 15 2002 \(L^p\)-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets. Zbl 1371.28004Hofmann, Steve; Mitrea, Dorina; Mitrea, Marius; Morris, Andrew J. 14 2016 Uniform rectifiability, Carleson measure estimates, and approximation of harmonic functions. Zbl 1359.28005Hofmann, Steve; Martell, José María; Mayboroda, Svitlana 14 2016 Circular averages and Falconer/Erdős distance conjecture in the plane for random metrics. Zbl 1096.28004Hofmann, S.; Iosevich, A. 14 2005 Weak (1,1) boundedness of singular integrals with nonsmooth kernel. Zbl 0677.42013Hofmann, Steve 13 1988 The weak-\(A_\infty\) property of harmonic and \(p\)-harmonic measures implies uniform rectifiability. Zbl 1369.31006Hofmann, Steve; Le, Phi; Martell, José María; Nyström, Kaj 11 2017 Uniform rectifiability and harmonic measure. III: Riesz transform bounds imply uniform rectifiability of boundaries of 1-sided NTA domains. Zbl 1305.31005Hofmann, Steve; Martell, José María; Mayboroda, Svitlana 11 2014 \(T1\) theorems for Besov and Triebel-Lizorkin spaces. Zbl 0779.42010Han, Y.-S.; Hofmann, Steve 11 1993 \(A_\infty\) implies NTA for a class of variable coefficient elliptic operators. Zbl 1378.35092Hofmann, Steve; Martell, José María; Toro, Tatiana 10 2017 A local \(Tb\) theorem for square functions. Zbl 1156.42307Hofmann, Steve 10 2008 Existence of big pieces of graphs for parabolic problems. Zbl 1046.35045Hofmann, Steve; Lewis, John L.; Nyström, Kaj 10 2003 Hardy spaces, singular integrals and the geometry of Euclidean domains of locally finite perimeter. Zbl 1333.42020Hofmann, Steve; Marmolejo-Olea, Emilio; Mitrea, Marius; Pérez-Esteva, Salvador; Taylor, Michael 8 2009 The \(L^p\) Neumann problem for the heat equation in non-cylindrical domains. Zbl 1065.35125Hofmann, Steve; Lewis, John L. 8 2005 The solution of Kato’s conjectures. Zbl 1017.47034Auscher, Pascal; Hofmann, Steve; Lacey, Michael; Lewis, John; McIntosh, Alan; Tchamitchian, Philippe 8 2001 Rectifiability and elliptic measures on 1-sided NTA domains with Ahlfors-David regular boundaries. Zbl 1373.31003Akman, Murat; Badger, Matthew; Hofmann, Steve; Martell, José María 7 2017 Boundedness and applications of singular integrals and square functions: a survey. Zbl 1255.42016Hofmann, Steve; Mcintosh, Alan 7 2011 On singular integrals of Calderón-type in \(\mathbb{R}^ n\), and BMO. Zbl 0874.42011Hofmann, Steve 7 1994 Symbol calculus for operators of layer potential type on Lipschitz surfaces with VMO normals, and related pseudodifferential operator calculus. Zbl 1317.31012Hofmann, Steve; Mitrea, Marius; Taylor, Michael E. 6 2015 Local \(Tb\) theorems and applications in PDE. Zbl 1104.42007Hofmann, Steve 6 2006 Square functions of Calderón type and applications. Zbl 0980.42011Hofmann, Steve; Lewis, John L. 6 2001 BMO solvability and absolute continuity of harmonic measure. Zbl 1405.42032Hofmann, Steve; Le, Phi 5 2018 An off-diagonal \(T1\) theorem and applications. Zbl 0919.42012Hofmann, Steve 5 1998 A characterization of commutators of parabolic singular integrals. Zbl 1039.42500Hofmann, Steve 5 1995 Boundedness criteria for rough singular integrals. Zbl 0831.42011Hofmann, Steve 5 1995 Square function estimates on layer potentials for higher-order elliptic equations. Zbl 1381.35035Barton, Ariel; Hofmann, Steve; Mayboroda, Svitlana 4 2017 Harmonic measure and approximation of uniformly rectifiable sets. Zbl 1371.28002Bortz, Simon; Hofmann, Steve 4 2017 Generalized local \(Tb\) theorems for square functions. Zbl 1366.42022Grau de la Herrán, Ana; Hofmann, Steve 4 2017 \(A_{\infty }\) estimates via extrapolation of Carleson measures and applications to divergence form elliptic operators. Zbl 1247.42020Hofmann, Steve; Martell, José María 4 2012 A note on \(A_\infty\) estimates via extrapolation of Carleson measures. Zbl 1228.42023Hofmann, Steve; Martell, José María 4 2010 Local \(T(b)\) theorems and applications in PDE. Zbl 1204.42023Hofmann, Steve 4 2010 Dahlberg’s bilinear estimate for solutions of divergence form complex elliptic equations. Zbl 1172.42006Hofmann, Steve 4 2008 Spectral properties of parabolic layer potentials and transmission boundary problems in nonsmooth domains. Zbl 1036.35067Hofmann, Steve; Lewis, John; Mitrea, Marius 4 2003 The \(L^p\) regularity problem for the heat equation in non-cylindrical domains. Zbl 0934.35056Hofmann, Steven; Lewis, John L. 4 1999 Rectifiability, interior approximation and harmonic measure. Zbl 1423.31002Akman, Murat; Bortz, Simon; Hofmann, Steve; Martell, José María 3 2019 The Neumann problem for higher order elliptic equations with symmetric coefficients. Zbl 1394.35159Barton, Ariel; Hofmann, Steve; Mayboroda, Svitlana 3 2018 The commutator of the Kato square root for second order elliptic operators on \(\mathbb{R}^n\). Zbl 1351.42027Chen, Yan Ping; Ding, Yong; Hofmann, Steve 3 2016 A local \(Tb\) theorem with vector-valued testing functions. Zbl 1345.42012Grau de la Herrán, Ana; Hofmann, Steve 3 2016 A singular integral approach to a two phase free boundary problem. Zbl 1361.42012Bortz, Simon; Hofmann, Steve 3 2016 On stability of square root domains for non-self-adjoint operators under additive perturbations. Zbl 1345.47015Gesztesy, Fritz; Hofmann, Steve; Nichols, Roger 3 2016 Riesz transforms associated with the Hodge Laplacian in Lipschitz subdomains of Riemannian manifolds. Zbl 1239.42013Hofmann, Steve; Mitrea, Marius; Monniaux, Sylvie 3 2011 Dirichlet problems for a nonstationary linearized system of Navier-Stokes equations in non-cylindrical domains. Zbl 1057.35030Hofmann, Steve; Nyström, Kaj 3 2002 Singular integrals with power weights. Zbl 0717.42018Hofmann, Steve 3 1990 Weighted weak-type (1,1) inequalities for rough operators. Zbl 0694.42024Hofmann, Steve 3 1989 Stability of square root domains associated with elliptic systems of PDEs on nonsmooth domains. Zbl 1308.35082Gesztesy, Fritz; Hofmann, Steve; Nichols, Roger 2 2015 On square root domains for non-selfadjoint Sturm-Liouville operators. Zbl 1289.47091Gesztesy, Fritz; Hofmann, Steve; Nichols, Roger 2 2013 Lattice points inside random ellipsoids. Zbl 1056.11052Hofmann, S.; Iosevich, A.; Weidinger, D. 2 2004 A short course on the Kato problem. Zbl 1012.47013Hofmann, Steve 2 2001 The Calderón commutator along a parabola. Zbl 0948.42009Carbery, Anthony; Hofmann, Steve; Wright, James 2 1999 Quantitative absolute continuity of harmonic measure and the Dirichlet problem: a survey of recent progress. Zbl 1421.31010Hofmann, Steve 1 2019 Perturbations of elliptic operators in 1-sided chord-arc domains. I: Small and large perturbation for symmetric operators. Zbl 1410.31003Cavero, Juan; Hofmann, Steve; Martell, José María 1 2019 Kato square root problem with unbounded leading coefficients. Zbl 1400.35041Escauriaza, Luis; Hofmann, Steve 1 2018 Square function estimates in spaces of homogeneous type and on uniformly rectifiable Euclidean sets. Zbl 1286.28003Hofmann, Steve; Mitrea, Dorina; Mitrea, Marius; Morris, Andrew J. 1 2014 A generalized characterization of commutators of parabolic singular integrals. Zbl 0953.42008Hofmann, Steve; Li, Xinwei; Yang, Dachun 1 1999 A weak molecule condition for certain Triebel-Lizorkin spaces. Zbl 0811.46025Hofmann, Steve 1 1992 Rectifiability, interior approximation and harmonic measure. Zbl 1423.31002Akman, Murat; Bortz, Simon; Hofmann, Steve; Martell, José María 3 2019 Quantitative absolute continuity of harmonic measure and the Dirichlet problem: a survey of recent progress. Zbl 1421.31010Hofmann, Steve 1 2019 Perturbations of elliptic operators in 1-sided chord-arc domains. I: Small and large perturbation for symmetric operators. Zbl 1410.31003Cavero, Juan; Hofmann, Steve; Martell, José María 1 2019 BMO solvability and absolute continuity of harmonic measure. Zbl 1405.42032Hofmann, Steve; Le, Phi 5 2018 The Neumann problem for higher order elliptic equations with symmetric coefficients. Zbl 1394.35159Barton, Ariel; Hofmann, Steve; Mayboroda, Svitlana 3 2018 Kato square root problem with unbounded leading coefficients. Zbl 1400.35041Escauriaza, Luis; Hofmann, Steve 1 2018 A new characterization of chord-arc domains. Zbl 1366.28004Azzam, Jonas; Hofmann, Steve; Martell, José María; Nyström, Kaj; Toro, Tatiana 20 2017 The weak-\(A_\infty\) property of harmonic and \(p\)-harmonic measures implies uniform rectifiability. Zbl 1369.31006Hofmann, Steve; Le, Phi; Martell, José María; Nyström, Kaj 11 2017 \(A_\infty\) implies NTA for a class of variable coefficient elliptic operators. Zbl 1378.35092Hofmann, Steve; Martell, José María; Toro, Tatiana 10 2017 Rectifiability and elliptic measures on 1-sided NTA domains with Ahlfors-David regular boundaries. Zbl 1373.31003Akman, Murat; Badger, Matthew; Hofmann, Steve; Martell, José María 7 2017 Square function estimates on layer potentials for higher-order elliptic equations. Zbl 1381.35035Barton, Ariel; Hofmann, Steve; Mayboroda, Svitlana 4 2017 Harmonic measure and approximation of uniformly rectifiable sets. Zbl 1371.28002Bortz, Simon; Hofmann, Steve 4 2017 Generalized local \(Tb\) theorems for square functions. Zbl 1366.42022Grau de la Herrán, Ana; Hofmann, Steve 4 2017 Rectifiability of harmonic measure. Zbl 1354.31004Azzam, Jonas; Hofmann, Steve; Martell, José María; Mayboroda, Svitlana; Mourgoglou, Mihalis; Tolsa, Xavier; Volberg, Alexander 20 2016 \(L^p\)-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets. Zbl 1371.28004Hofmann, Steve; Mitrea, Dorina; Mitrea, Marius; Morris, Andrew J. 14 2016 Uniform rectifiability, Carleson measure estimates, and approximation of harmonic functions. Zbl 1359.28005Hofmann, Steve; Martell, José María; Mayboroda, Svitlana 14 2016 The commutator of the Kato square root for second order elliptic operators on \(\mathbb{R}^n\). Zbl 1351.42027Chen, Yan Ping; Ding, Yong; Hofmann, Steve 3 2016 A local \(Tb\) theorem with vector-valued testing functions. Zbl 1345.42012Grau de la Herrán, Ana; Hofmann, Steve 3 2016 A singular integral approach to a two phase free boundary problem. Zbl 1361.42012Bortz, Simon; Hofmann, Steve 3 2016 On stability of square root domains for non-self-adjoint operators under additive perturbations. Zbl 1345.47015Gesztesy, Fritz; Hofmann, Steve; Nichols, Roger 3 2016 Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators. Zbl 1326.42028Hofmann, Steve; Kenig, Carlos; Mayboroda, Svitlana; Pipher, Jill 36 2015 The method of layer potentials in \(L^{p}\) and endpoint spaces for elliptic operators with \(L^{\infty}\) coefficients. Zbl 1323.31011Hofmann, Steve; Mitrea, Marius; Morris, Andrew J. 19 2015 The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients. Zbl 1325.42028Hofmann, Steve; Kenig, Carlos; Mayboroda, Svitlana; Pipher, Jill 18 2015 Layer potentials and boundary value problems for elliptic equations with complex \(L^\infty\) coefficients satisfying the small Carleson measure norm condition. Zbl 1311.35074Hofmann, Steve; Mayboroda, Svitlana; Mourgoglou, Mihalis 18 2015 Symbol calculus for operators of layer potential type on Lipschitz surfaces with VMO normals, and related pseudodifferential operator calculus. Zbl 1317.31012Hofmann, Steve; Mitrea, Marius; Taylor, Michael E. 6 2015 Stability of square root domains associated with elliptic systems of PDEs on nonsmooth domains. Zbl 1308.35082Gesztesy, Fritz; Hofmann, Steve; Nichols, Roger 2 2015 Uniform rectifiability and harmonic measure. I: Uniform rectifiability implies Poisson kernels in \(L^p\). Zbl 1302.31007Hofmann, Steve; Martell, José María 28 2014 Uniform rectifiability and harmonic measure. II: Poisson kernels in \(L^p\) imply uniform rectifiability. Zbl 1323.31008Hofmann, Steve; Martell, José María; Uriarte-Tuero, Ignacio 23 2014 Uniform rectifiability and harmonic measure. III: Riesz transform bounds imply uniform rectifiability of boundaries of 1-sided NTA domains. Zbl 1305.31005Hofmann, Steve; Martell, José María; Mayboroda, Svitlana 11 2014 Square function estimates in spaces of homogeneous type and on uniformly rectifiable Euclidean sets. Zbl 1286.28003Hofmann, Steve; Mitrea, Dorina; Mitrea, Marius; Morris, Andrew J. 1 2014 Hardy spaces and regularity for the inhomogeneous Dirichlet and Neumann problems. Zbl 1263.35080Duong, Xuan Thinh; Hofmann, Steve; Mitrea, Dorina; Mitrea, Marius; Yan, Lixin 21 2013 On square root domains for non-selfadjoint Sturm-Liouville operators. Zbl 1289.47091Gesztesy, Fritz; Hofmann, Steve; Nichols, Roger 2 2013 Vertical versus conical square functions. Zbl 1275.42028Auscher, Pascal; Hofmann, Steve; Martell, José-María 17 2012 \(A_{\infty }\) estimates via extrapolation of Carleson measures and applications to divergence form elliptic operators. Zbl 1247.42020Hofmann, Steve; Martell, José María 4 2012 Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates. Zbl 1232.42018Hofmann, Steve; Lu, Guozhen; Mitrea, Dorina; Mitrea, Marius; Yan, Lixin 125 2011 Second order elliptic operators with complex bounded measurable coefficients in \(L^p\), Sobolev and Hardy spaces. Zbl 1243.47072Hofmann, Steve; Mayboroda, Svitlana; McIntosh, Alan 66 2011 Analyticity of layer potentials and \(L^{2}\) solvability of boundary value problems for divergence form elliptic equations with complex \(L^{\infty }\) coefficients. Zbl 1217.35056Alfonseca, M. Angeles; Auscher, Pascal; Axelsson, Andreas; Hofmann, Steve; Kim, Seick 49 2011 Boundedness and applications of singular integrals and square functions: a survey. Zbl 1255.42016Hofmann, Steve; Mcintosh, Alan 7 2011 Riesz transforms associated with the Hodge Laplacian in Lipschitz subdomains of Riemannian manifolds. Zbl 1239.42013Hofmann, Steve; Mitrea, Marius; Monniaux, Sylvie 3 2011 Singular integrals and elliptic boundary problems on regular Semmes-Kenig-Toro. Zbl 1221.31010Hofmann, Steve; Mitrea, Marius; Taylor, Michael 39 2010 A note on \(A_\infty\) estimates via extrapolation of Carleson measures. Zbl 1228.42023Hofmann, Steve; Martell, José María 4 2010 Local \(T(b)\) theorems and applications in PDE. Zbl 1204.42023Hofmann, Steve 4 2010 Hardy and BMO spaces associated to divergence form elliptic operators. Zbl 1162.42012Hofmann, Steve; Mayboroda, Svitlana 127 2009 Hardy spaces, singular integrals and the geometry of Euclidean domains of locally finite perimeter. Zbl 1333.42020Hofmann, Steve; Marmolejo-Olea, Emilio; Mitrea, Marius; Pérez-Esteva, Salvador; Taylor, Michael 8 2009 Functional calculus of Dirac operators and complex perturbations of Neumann and Dirichlet problems. Zbl 1157.35028Auscher, Pascal; Axelsson, Andreas; Hofmann, Steve 27 2008 A local \(Tb\) theorem for square functions. Zbl 1156.42307Hofmann, Steve 10 2008 Dahlberg’s bilinear estimate for solutions of divergence form complex elliptic equations. Zbl 1172.42006Hofmann, Steve 4 2008 The Green function estimates for strongly elliptic systems of second order. Zbl 1130.35042Hofmann, Steve; Kim, Seick 49 2007 Geometric and transformational properties of Lipschitz domains, Semmes-Kenig-Toro domains, and other classes of finite perimeter domains. Zbl 1142.49021Hofmann, Steve; Mitrea, Marius; Taylor, Michael 29 2007 Local \(Tb\) theorems and applications in PDE. Zbl 1104.42007Hofmann, Steve 6 2006 Circular averages and Falconer/Erdős distance conjecture in the plane for random metrics. Zbl 1096.28004Hofmann, S.; Iosevich, A. 14 2005 The \(L^p\) Neumann problem for the heat equation in non-cylindrical domains. Zbl 1065.35125Hofmann, Steve; Lewis, John L. 8 2005 Riesz transform on manifolds and heat kernel regularity. Zbl 1086.58013Auscher, Pascal; Coulhon, Thierry; Duong, Xuan Thinh; Hofmann, Steve 108 2004 Caloric measure in parabolic flat domains. Zbl 1074.35041Hofmann, Steve; Lewis, John L.; Nyström, Kaj 17 2004 Gaussian estimates for fundamental solutions to certain parabolic systems. Zbl 1061.35023Hofmann, Steve; Kim, Seick 16 2004 Lattice points inside random ellipsoids. Zbl 1056.11052Hofmann, S.; Iosevich, A.; Weidinger, D. 2 2004 \(L^p\) bounds for Riesz transforms and square roots associated to second order elliptic operators. Zbl 1074.35031Hofmann, Steve; Martell, José María 59 2003 Sharp rate of average decay of the Fourier transform of a bounded set. Zbl 1032.42017Brandolini, L.; Hofmann, S.; Iosevich, A. 19 2003 Existence of big pieces of graphs for parabolic problems. Zbl 1046.35045Hofmann, Steve; Lewis, John L.; Nyström, Kaj 10 2003 Spectral properties of parabolic layer potentials and transmission boundary problems in nonsmooth domains. Zbl 1036.35067Hofmann, Steve; Lewis, John; Mitrea, Marius 4 2003 The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\). Zbl 1128.35316Auscher, Pascal; Hofmann, Steve; Lacey, Michael; McIntosh, Alan; Tchamitchian, Ph. 135 2002 Carleson measures, trees, extrapolation, and \(T(b)\) theorems. Zbl 1027.42009Auscher, P.; Hofmann, S.; Muscalu, Camil; Tao, Terence C.; Thiele, Christoph 38 2002 The solution of the Kato problem for divergence from elliptic operators with Gaussian heat kernel bounds. Zbl 1128.35317Hofmann, Steve; Lacey, Michael; McIntosh, Alan 24 2002 The solution of the Kato problem in two dimensions. Zbl 1020.47031Hofmann, Steve; McIntosh, Alan 15 2002 Dirichlet problems for a nonstationary linearized system of Navier-Stokes equations in non-cylindrical domains. Zbl 1057.35030Hofmann, Steve; Nyström, Kaj 3 2002 The Kato square root problem for higher order elliptic operators and systems on \(\mathbb{R}^n\). Zbl 1019.35029Auscher, Pascal; Hofmann, Steve; McIntosh, Alan; Tchamitchian, Philippe 31 2001 Extrapolation of Carleson measures and the analyticity of Kato’s square-root operators. Zbl 1163.35346Auscher, Pascal; Hofmann, Steve; Lewis, John L.; Tchamitchian, Philippe 27 2001 The Dirichlet problem for parabolic operators with singular drift terms. Zbl 1149.35048Hofmann, Steve; Lewis, John L. 25 2001 The solution of Kato’s conjectures. Zbl 1017.47034Auscher, Pascal; Hofmann, Steve; Lacey, Michael; Lewis, John; McIntosh, Alan; Tchamitchian, Philippe 8 2001 Square functions of Calderón type and applications. Zbl 0980.42011Hofmann, Steve; Lewis, John L. 6 2001 A short course on the Kato problem. Zbl 1012.47013Hofmann, Steve 2 2001 The \(L^p\) regularity problem for the heat equation in non-cylindrical domains. Zbl 0934.35056Hofmann, Steven; Lewis, John L. 4 1999 The Calderón commutator along a parabola. Zbl 0948.42009Carbery, Anthony; Hofmann, Steve; Wright, James 2 1999 A generalized characterization of commutators of parabolic singular integrals. Zbl 0953.42008Hofmann, Steve; Li, Xinwei; Yang, Dachun 1 1999 An off-diagonal \(T1\) theorem and applications. Zbl 0919.42012Hofmann, Steve 5 1998 Parabolic singular integrals of Calderón-type, rough operators, and caloric layer potentials. Zbl 0941.42006Hofmann, Steve 21 1997 \(L^ 2\) solvability and representation by caloric layer potentials in time-varying domains. Zbl 0867.35037Hofmann, Steve; Lewis, John L. 33 1996 A characterization of commutators of parabolic singular integrals. Zbl 1039.42500Hofmann, Steve 5 1995 Boundedness criteria for rough singular integrals. Zbl 0831.42011Hofmann, Steve 5 1995 On certain nonstandard Calderón-Zygmund operators. Zbl 0826.42012Hofmann, Steve 18 1994 On singular integrals of Calderón-type in \(\mathbb{R}^ n\), and BMO. Zbl 0874.42011Hofmann, Steve 7 1994 Weighted norm inequalities and vector valued inequalities for certain rough operators. Zbl 0804.42010Hofmann, Steve 17 1993 \(T1\) theorems for Besov and Triebel-Lizorkin spaces. Zbl 0779.42010Han, Y.-S.; Hofmann, Steve 11 1993 A weak molecule condition for certain Triebel-Lizorkin spaces. Zbl 0811.46025Hofmann, Steve 1 1992 Singular integrals with power weights. Zbl 0717.42018Hofmann, Steve 3 1990 Weighted weak-type (1,1) inequalities for rough operators. Zbl 0694.42024Hofmann, Steve 3 1989 Weak (1,1) boundedness of singular integrals with nonsmooth kernel. Zbl 0677.42013Hofmann, Steve 13 1988 all cited Publications top 5 cited Publications all top 5 Cited by 671 Authors 48 Hofmann, Steve 47 Yang, Dachun 32 Yan, Lixin 30 Auscher, Pascal 30 Mitrea, Marius 28 Duong, Xuan Thinh 27 Martell, José María (Chema) 21 Mourgoglou, Mihalis 20 Ding, Yong 19 Mayboroda, Svitlana 19 Yang, Sibei 18 Li, Ji 18 Nyström, Kaj 17 Song, Liang 15 Kim, Seick 15 McIntosh, Alan 15 Pipher, Jill Catherine 14 Bui, The Anh 14 Mitrea, Irina 14 Tolsa, Xavier 13 Bernicot, Frédéric 13 Chen, Yanping 13 Jiang, Renjin 13 Kenig, Carlos Eduardo 12 Azzam, Jonas 11 Cao, Jun 11 Mitrea, Dorina 11 Shen, Zhongwei 10 Dindoš, Martin 10 Frey, Dorothee 9 Coulhon, Thierry 9 Portal, Pierre 8 Barton, Ariel 8 Betancor Perez, Jorge Juan 8 Chen, Peng 8 Gong, Ruming 8 Iosevich, Alex 8 Lewis, John L. 8 Martikainen, Henri 7 Badr, Nadine 7 Chang, Tongkeun 7 Dong, Hongjie 7 Dziubański, Jacek 7 Hytönen, Tuomas P. 7 Kohr, Mirela 7 Monniaux, Sylvie 7 Toro, Tatiana 7 Wendland, Wolfgang L. 6 Axelsson, Andreas 6 Chang, Der-Chen E. 6 Egert, Moritz 6 Hassell, Andrew 6 Huang, Jizheng 6 Kunstmann, Peer Christian 6 Li, Pengtao 6 Liu, Suying 6 Liu, Yu 6 Ouhabaz, El Maati 6 Rivera-Noriega, Jorge 6 Rodríguez-Mesa, Lourdes 6 Russ, Emmanuel 6 van Neerven, Jan M. A. M. 6 Zhuo, Ciqiang 5 Bandara, Lashi 5 Bortz, Simon 5 Chen, Jiecheng 5 Choi, Jongkeun 5 Feneuil, Joseph 5 Gesztesy, Fritz 5 Lacey, Michael T. 5 Li, Xiang-Dong 5 Ly, Fu Ken 5 Morris, Andrew Joel 5 Prisuelos-Arribas, Cruz 5 Rosén, Andreas 5 Seeger, Andreas 5 Tan, Chaoqiang 5 Vallarino, Maria 5 Volberg, Alexander Lvovich 4 Anh, Bui The 4 Baudoin, Fabrice 4 Castro, Alejandro J. 4 Cruz-Uribe, David Vincente 4 David, Guy 4 Deng, Qingquan 4 Devyver, Baptiste 4 Fackler, Stephan 4 Fariña, Juan Carlos 4 Geng, Jun 4 Hu, Guoen 4 Li, Hongquan 4 Maekawa, Yasunori 4 Maz’ya, Vladimir Gilelevich 4 Miura, Hideyuki 4 Nazarov, Fedor L. 4 Petermichl, Stefanie 4 Sikora, Adam S. 4 Yang, Dongyong 4 Zhang, Junqiang 4 Zhou, Yuan ...and 571 more Authors all top 5 Cited in 161 Serials 51 Transactions of the American Mathematical Society 48 Journal of Functional Analysis 40 The Journal of Geometric Analysis 31 Journal of Mathematical Analysis and Applications 25 Potential Analysis 22 Advances in Mathematics 22 Journal of Differential Equations 21 Mathematische Annalen 20 Revista Matemática Iberoamericana 19 Mathematische Zeitschrift 19 Proceedings of the American Mathematical Society 19 The Journal of Fourier Analysis and Applications 13 Analysis & PDE 12 Science China. Mathematics 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Acta Mathematica Sinica. English Series 10 Archive for Rational Mechanics and Analysis 10 Communications in Partial Differential Equations 10 Calculus of Variations and Partial Differential Equations 9 Journal d’Analyse Mathématique 9 Mathematische Nachrichten 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Journal of Evolution Equations 9 Journal of the Australian Mathematical Society 8 Annales de l’Institut Fourier 8 Memoirs of the American Mathematical Society 8 Journal of Mathematical Sciences (New York) 7 Manuscripta Mathematica 7 Communications on Pure and Applied Analysis 7 Analysis in Theory and Applications 6 Bulletin of the Australian Mathematical Society 6 Forum Mathematicum 6 SIAM Journal on Mathematical Analysis 6 Journal of the European Mathematical Society (JEMS) 6 Frontiers of Mathematics in China 6 Journal of Function Spaces 5 Duke Mathematical Journal 5 Integral Equations and Operator Theory 5 Journal of the American Mathematical Society 5 Annales Academiae Scientiarum Fennicae. Mathematica 5 Banach Journal of Mathematical Analysis 4 Communications on Pure and Applied Mathematics 4 Mathematical Methods in the Applied Sciences 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Czechoslovak Mathematical Journal 4 Illinois Journal of Mathematics 4 Inventiones Mathematicae 4 Journal of the Mathematical Society of Japan 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Geometric and Functional Analysis. GAFA 4 Revista Matemática Complutense 4 Communications in Contemporary Mathematics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Communications in Mathematical Physics 3 Arkiv för Matematik 3 Acta Mathematica 3 Archiv der Mathematik 3 Journal of Approximation Theory 3 Journal für die Reine und Angewandte Mathematik 3 Mathematika 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Probability Theory and Related Fields 3 Publicacions Matemàtiques 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Taiwanese Journal of Mathematics 3 Journal of Mathematical Fluid Mechanics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Bulletin of Mathematical Sciences 2 Applicable Analysis 2 Israel Journal of Mathematics 2 Journal of Mathematical Physics 2 Mathematical Notes 2 Russian Mathematical Surveys 2 The Annals of Probability 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Collectanea Mathematica 2 Functional Analysis and its Applications 2 Indiana University Mathematics Journal 2 Nagoya Mathematical Journal 2 Numerische Mathematik 2 Proceedings of the London Mathematical Society. Third Series 2 Tohoku Mathematical Journal. Second Series 2 Science in China. Series A 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Applied Mathematics. Series B (English Edition) 2 Georgian Mathematical Journal 2 Bulletin des Sciences Mathématiques 2 Positivity 2 Journal of Inequalities and Applications 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Analysis and Applications (Singapore) 2 Boundary Value Problems 2 Complex Variables and Elliptic Equations 2 Evolution Equations and Control Theory 2 Analysis and Geometry in Metric Spaces 2 Open Mathematics 2 Journal de l’École Polytechnique – Mathématiques 1 Inverse Problems 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics ...and 61 more Serials all top 5 Cited in 44 Fields 439 Harmonic analysis on Euclidean spaces (42-XX) 371 Partial differential equations (35-XX) 185 Operator theory (47-XX) 130 Functional analysis (46-XX) 85 Global analysis, analysis on manifolds (58-XX) 75 Potential theory (31-XX) 45 Measure and integration (28-XX) 39 Probability theory and stochastic processes (60-XX) 30 Abstract harmonic analysis (43-XX) 26 Functions of a complex variable (30-XX) 23 Real functions (26-XX) 18 Fluid mechanics (76-XX) 16 Convex and discrete geometry (52-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 13 Number theory (11-XX) 13 Topological groups, Lie groups (22-XX) 12 Differential geometry (53-XX) 11 Numerical analysis (65-XX) 9 Mechanics of deformable solids (74-XX) 8 Integral equations (45-XX) 7 Quantum theory (81-XX) 6 Ordinary differential equations (34-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Combinatorics (05-XX) 4 Special functions (33-XX) 4 Integral transforms, operational calculus (44-XX) 4 Optics, electromagnetic theory (78-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Approximations and expansions (41-XX) 3 Geometry (51-XX) 3 General topology (54-XX) 3 Statistics (62-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 Field theory and polynomials (12-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Manifolds and cell complexes (57-XX) 2 Relativity and gravitational theory (83-XX) 2 Biology and other natural sciences (92-XX) 1 Group theory and generalizations (20-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline