Sergei Treil

Applied Mathematics · 2001–2017

A researcher in the Science corpus: 13 papers; trusts 16 researchers and is trusted by 37 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 60 citations into it; #343 of 7,620 by trust here, #290 by citations
• Mathematical Physics — 26 citations into it; #808 of 8,562 by trust here, #459 by citations
• Geometry and Topology — 7 citations into it
• Numerical Analysis — 7 citations into it

Whom Sergei Treil trusts overall

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

1. S. Petermichl
2. Alexander Volberg
3. Fedor Nazarov
4. Peter L. Duren
5. X. Domènech
6. Tuomas Hytönen
7. Andrei K. Lerner
8. Michael T. Lacey
9. Xavier Tolsa
10. P. Mattila

Who trusts Sergei Treil overall

1. Tuomas Hytönen
2. Michael T. Lacey
3. D. Cruz-Uribe
4. S. Petermichl
5. Alexandru Aleman
6. Andrei K. Lerner
7. Alexander Volberg
8. Eric T. Sawyer
9. Sandra Pott
10. Fedor Nazarov

Papers from Sergei Treil's perspective

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

1. A sharp estimate on the norm of the martingale transform
2. Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces
3. Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular
4. Dyadic shifts and a logarithmic estimate for Hankel operators with matrix symbol
5. Bellman function in stochastic control and harmonic analysis
6. Sharp weighted estimates for classical operators
7. The sharp constant in the reverse Hölder inequality for Muckenhoupt weights
8. Bilipschitz maps, analytic capacity, and the Cauchy integral
9. The sharp weighted bound for the Riesz transforms
10. Theory of Hp Spaces

Their papers

• Bellman function in stochastic control and harmonic analysis (2001) — 89 citations
• Convex body domination and weighted estimates with matrix weights (2017) — 75 citations
• The Tb-theorem on non-homogeneous spaces that proves a conjecture of Vitushkin (2014) — 50 citations
• Weighted martingale multipliers in non-homogeneous setting and outer measure spaces (2014) — 49 citations
• A remark on two weight estimates for positive dyadic operators (2012) — 52 citations
• On $A_2$ conjecture and corona decomposition of weights (2010) — 49 citations
• Sharp weighted estimates of the dyadic shifts and $A_2$ conjecture (2010) — 84 citations
• Two weight estimate for the Hilbert transform and corona decomposition for non-doubling measures (2010) — 85 citations
• Two weight inequalities for individual Haar multipliers and other well localized operators (2007) — 102 citations
• TheTb-theorem on non-homogeneous spaces (2003) — 370 citations
• Why the Riesz transforms are averages of the dyadic shifts (2002) — 53 citations
• Accretive system Tb-theorems on nonhomogeneous spaces (2002) — 124 citations
• Sharp estimates in vector Carleson imbedding theorem and for vector paraproducts (2002) — 76 citations