Tuomas Hytönen

Applied Mathematics · 2004–2023

A researcher in the Science corpus: 29 papers; trusts 50 researchers and is trusted by 63 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 227 citations into it; #101 of 7,620 by trust here, #153 by citations
• Mathematical Physics — 131 citations into it; #1,108 of 8,562 by trust here, #525 by citations
• Numerical Analysis — 22 citations into it; #581 of 3,586 by trust here, #875 by citations
• Computational Theory and Mathematics — 17 citations into it
• Geometry and Topology — 15 citations into it; #2,467 of 7,422 by trust here, #3,077 by citations
• Finance — 7 citations into it

Whom Tuomas Hytönen trusts overall

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

1. Andrei K. Lerner
2. Michael T. Lacey
3. S. Petermichl
4. Fedor Nazarov
5. Xavier Tolsa
6. Alexander Volberg
7. Sergei Treil
8. Lutz Weis
9. D. Cruz-Uribe
10. C. P'erez

Who trusts Tuomas Hytönen overall

1. Andrei K. Lerner
2. Michael T. Lacey
3. D. Cruz-Uribe
4. Kabe Moen
5. Kangwei Li
6. P. Auscher
7. Dachun Yang
8. I. Holmes
9. C. P'erez
10. Xing Fu

Papers from Tuomas Hytönen's perspective

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

1. A sharp estimate on the norm of the martingale transform
2. Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular
3. Sharp weighted estimates for classical operators
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. The sharp weighted bound for the Riesz transforms
7. Dyadic shifts and a logarithmic estimate for Hankel operators with matrix symbol
8. Sharp weighted norm inequalities for Littlewood-Paley operators and singular integrals
9. Theory of Hp Spaces
10. Classical and modern Fourier analysis

Their papers

• Analysis in Banach Spaces (2023) — 433 citations
• Analysis in Banach Spaces: Volume II: Probabilistic Methods and Operator Theory (2019) — 63 citations
• The L-to-L boundedness of commutators with applications to the Jacobian operator (2018) — 76 citations
• The two‐weight inequality for the Hilbert transform with general measures (2018) — 67 citations
• Hardy spaces of holomorphic functions (2017) — 125 citations
• Sparse bounds for maximal rough singular integrals via the Fourier transform (2017) — 51 citations
• Analysis in Banach Spaces: Volume I: Martingales and Littlewood-Paley Theory (2016) — 231 citations
• Quantitative weighted estimates for rough homogeneous singular integrals (2015) — 124 citations
• Sharp Reverse H\"older property for A_\infty weights on spaces of homogeneous type (2012) — 166 citations
• The A_2 theorem: Remarks and complements (2012) — 103 citations
• Sharp weighted bounds for the q‐variation of singular integrals (2012) — 139 citations
• The A_p-A_infty inequality for general Calderon--Zygmund operators (2011) — 53 citations
• Representation of singular integrals by dyadic operators, and the A_2 theorem (2011) — 49 citations
• Sharp weighted bounds involving A (2011) — 368 citations
• Orthonormal bases of regular wavelets in spaces of homogeneous type (2011) — 105 citations
• Sharp weighted estimates of the dyadic shifts and $A_2$ conjecture (2010) — 84 citations
• Boundedness of Calderón–Zygmund Operators on Non-homogeneous Metric Measure Spaces (2010) — 66 citations
• The sharp weighted bound for general Calderon-Zygmund operators (2010) — 343 citations
• The sharp weighted bound for general Calderón-Zygmund operators (2010) — 288 citations
• The Hardy space H1 on non-homogeneous metric spaces (2010) — 99 citations