S. Hofmann

Applied Mathematics · with Martell · 2001–2018

A researcher in the Science corpus: 31 papers; trusts 47 researchers and is trusted by 60 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 164 citations into it; #153 of 7,620 by trust here, #51 by citations
• Mathematical Physics — 95 citations into it; #296 of 8,562 by trust here, #60 by citations
• Computational Theory and Mathematics — 41 citations into it; #2,542 of 12,182 by trust here, #1,851 by citations
• Geometry and Topology — 25 citations into it; #3,188 of 7,422 by trust here, #2,384 by citations
• Numerical Analysis — 15 citations into it
• Statistics and Probability — 8 citations into it
• Computational Mechanics — 7 citations into it

Whom S. Hofmann trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. P. Auscher
2. J. M. Martell
3. A. Mcintosh
4. Carlos E. Kenig
5. Sönke Blunck
6. Michael T. Lacey
7. Xavier Tolsa
8. John L. Lewis
9. M. Mitrea
10. Xuan Thinh Duong

Who trusts S. Hofmann overall

1. P. Auscher
2. J. M. Martell
3. Xuan Thinh Duong
4. A. Axelsson
5. Renjin Jiang
6. Dachun Yang
7. A. Mcintosh
8. Svitlana Mayboroda
9. M. Mitrea
10. Ji Li

Papers from S. Hofmann's perspective

Ordered by how strongly the researchers S. Hofmann trusts endorse each paper. Same corpus, a different order for every researcher.

1. Riesz transform on manifols and Poincaré inequalities
2. Lp bounds for Riesz transforms and square roots associated to second order elliptic operators
3. Duality of Hardy and BMO spaces associated with operators with heat kernel bounds on product domains
4. The solution of the Kato problem in two dimensions
5. The solution of the Kato square root problem for second order elliptic operators on Rn
6. Sharp maximal functions associated with approximations of the identity in spaces of homogeneous type and applications
7. On Lp estimates for square roots of second order elliptic operators on Rn.
8. Hardy and BMO spaces associated to divergence form elliptic operators
9. The Solution of the Kato Problem for Divergence Form Elliptic Operators with Gaussian Heat Kernel Bounds
10. New function spaces of BMO type, the John‐Nirenberg inequality, interpolation, and applications

Their papers

• Caloric measure in parabolic flat domains (2004) — 48 citations
• The Green function estimates for strongly elliptic systems of second order (2007) — 152 citations
• Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators (2012) — 118 citations
• The Dirichlet problem for parabolic operators with singular drift terms (2001) — 88 citations
• Singular Integrals and Elliptic Boundary Problems on Regular Semmes–Kenig–Toro Domains (2009) — 153 citations
• Uniform rectifiability and harmonic measure I: Uniform rectifiability implies Poisson kernels in $L^p$ (2012) — 110 citations
• Harmonic measure and quantitative connectivity: geometric characterization of the Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \beg (2018) — 58 citations
• Rectifiability of harmonic measure (2015) — 84 citations
• The weak-A∞ property of harmonic and p-harmonic measures implies uniform rectifiability (2015) — 59 citations
• A new characterization of chord-arc domains (2014) — 94 citations
• Uniform Rectifiability, Carleson measure estimates, and approximation of harmonic functions (2014) — 73 citations
• The method of layer potentials in Lp and endpoint spaces for elliptic operators with L∞ coefficients (2013) — 56 citations
• $L^p$-Square Function Estimates on Spaces of Homogeneous Type and on Uniformly Rectifiable Sets (2013) — 48 citations
• The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients (2013) — 68 citations
• Uniform rectifiability and harmonic measure, II: Poisson kernels in $L^{p}$ imply uniform rectifiability (2012) — 72 citations
• Hardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates (2011) — 351 citations
• Second order elliptic operators with complex bounded measurable coefficients in L p , Sobolev and Hardy spaces (2010) — 174 citations
• Vertical versus conical square functions (2010) — 49 citations
• Functional calculus of Dirac operators and complex perturbations of Neumann and Dirichlet problems (2007) — 73 citations
• Geometric and transformational properties of Lipschitz domains, Semmes-Kenig-Toro domains, and other classes of finite perimeter domains (2007) — 104 citations