J. M. Martell

Applied Mathematics · 2001–2018

A researcher in the Science corpus: 26 papers; trusts 42 researchers and is trusted by 63 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 188 citations into it; #128 of 7,620 by trust here, #90 by citations
• Mathematical Physics — 103 citations into it; #825 of 8,562 by trust here, #927 by citations
• Computational Theory and Mathematics — 34 citations into it; #11,592 of 12,182 by trust here, #6,798 by citations
• Numerical Analysis — 19 citations into it; #3,497 of 3,586 by trust here, #1,659 by citations
• Geometry and Topology — 12 citations into it

Whom J. M. Martell trusts overall

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

1. S. Petermichl
2. P. Auscher
3. S. Hofmann
4. Loukas Grafakos
5. D. Cruz-Uribe
6. Andrei K. Lerner
7. C. P'erez
8. Sönke Blunck
9. Michael T. Lacey
10. Alexander Volberg

Who trusts J. M. Martell overall

1. D. Cruz-Uribe
2. P. Auscher
3. Andrei K. Lerner
4. S. Hofmann
5. Tuomas Hytönen
6. Xuan Thinh Duong
7. D. Deng
8. Kabe Moen
9. C. P'erez
10. Lixin Yan

Papers from J. M. Martell's perspective

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

1. A sharp estimate on the norm of the martingale transform
2. Classical and modern Fourier analysis
3. Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular
4. Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces
5. An elementary approach to several results on the Hardy-Littlewood maximal operator
6. Sharp weighted estimates for classical operators
7. Interpolation of operators
8. Dyadic shifts and a logarithmic estimate for Hankel operators with matrix symbol
9. Multilinear Calderón–Zygmund Theory
10. Sharp maximal functions associated with approximations of the identity in spaces of homogeneous type and applications

Their papers

• Uniform rectifiability and harmonic measure I: Uniform rectifiability implies Poisson kernels in $L^p$ (2012) — 110 citations
• Weights, Extrapolation and the Theory of Rubio de Francia (2011) — 512 citations
• Sharp maximal functions associated with approximations of the identity in spaces of homogeneous type and applications (2004) — 158 citations
• Extrapolation of Weighted norm inequalities for multivariable operators and applications (2004) — 119 citations
• Extrapolation for multilinear Muckenhoupt classes and applications (2018) — 60 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
• Uniform rectifiability and harmonic measure, II: Poisson kernels in $L^{p}$ imply uniform rectifiability (2012) — 72 citations
• Vertical versus conical square functions (2010) — 49 citations
• Sharp weighted estimates for approximating dyadic operators (2010) — 65 citations
• Sharp weighted estimates for classical operators (2010) — 193 citations
• Weighted norm inequalities, off-diagonal estimates and elliptic operators (2008) — 64 citations
• Sharp two-weight inequalities for singular integrals, with applications to the Hilbert transform and the Sarason conjecture (2007) — 76 citations
• Weighted norm inequalities, off-diagonal estimates and elliptic operators. Part I: General operator theory and weights (2006) — 202 citations
• Extrapolation with weights, rearrangement-invariant function spaces, modular inequalities and applications to singular integrals (2006) — 130 citations
• Weighted norm inequalities, off-diagonal estimates and elliptic operators. Part III: Harmonic analysis of elliptic operators (2006) — 81 citations
• Weighted norm inequalities, off-diagonal estimates and elliptic operators Part II: Off-diagonal estimates on spaces of homogeneous type (2006) — 80 citations