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The Bellman Function Technique in Harmonic Analysis

Vasyunin, Vasily

2020

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Harmonic Analysis and Convexity

1, 2023

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Tail spaces estimates on Hamming cube and Bernstein–Markov inequality

Journal of mathematical analysis and applications, 2024-01, Vol.529 (2), p.127597, Article 127597

Volberg, Alexander

2024

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Logarithmic bump conditions and the two-weight boundedness of Calderón–Zygmund operators

Advances in mathematics (New York. 1965), 2014-04, Vol.255, p.706-729

2014

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Sharp weighted estimates for dyadic shifts and the A2 conjecture

Journal für die reine und angewandte Mathematik, 2014-02, Vol.2014 (687), p.43-86

2014

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THE SHARP SQUARE FUNCTION ESTIMATE WITH MATRIX WEIGHT

Discrete analysis, 2019

2019

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The Buffon's needle problem for random planar disk-like Cantor sets

Journal of mathematical analysis and applications, 2024-01, Vol.529 (2), p.127622, Article 127622

2024

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Sign intermixing for Riesz bases and frames measured in the Kantorovich–Rubinstein norm

Journal of approximation theory, 2022-09, Vol.281-282, p.105798, Article 105798

2022

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Entropy conditions in two weight inequalities for singular integral operators

Advances in mathematics (New York. 1965), 2016-10, Vol.301, p.499-548

2016

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Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular

Duke mathematical journal, 2002-04, Vol.112 (2), p.281-305

2002

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Continuity of weighted estimates in A_{p} norm

Proceedings of the American Mathematical Society, 2012-08, Vol.140 (8), p.2783-2790

2012

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On the uniform rectifiability of AD-regular measures with bounded Riesz transform operator: the case of codimension 1

Acta mathematica, 2014-12, Vol.213 (2), p.237-321

2014

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Free boundary problems in the spirit of Sakai’s theorem

Comptes rendus. Mathématique, 2021-01, Vol.359 (10), p.1233-1238

2021

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Bohnenblust–Hille inequality for cyclic groups

Advances in mathematics (New York. 1965), 2024-08, Vol.452, p.109824, Article 109824

2024

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Noncommutative Bohnenblust–Hille inequalities

Mathematische annalen, 2024, Vol.389 (2), p.1657-1676

2024

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Counting eigenvalues of Schrödinger operators with fast decaying complex potentials

Advances in mathematics (New York. 1965), 2022-03, Vol.397, p.108115, Article 108115

2022

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Convex body domination and weighted estimates with matrix weights

Advances in mathematics (New York. 1965), 2017-10, Vol.318, p.279-306

2017

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Poincaré inequality 3/2 on the Hamming cube

Revista matemática iberoamericana, 2020, Vol.36 (1), p.79-97

2020

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Rademacher type and Enflo type coincide

Annals of mathematics, 2020-09, Vol.192 (2), p.665-678

2020

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Sharp constants in the classical weak form of the John–Nirenberg inequality

Proceedings of the London Mathematical Society, 2014-06, Vol.108 (6), p.1417-1434

2014

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On Tsirelson’s Theorem About Triple Points for Harmonic Measure

International mathematics research notices, 2018-06, Vol.2018 (12), p.3671-3683

2018

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Essential differences of potential theories on a tree and on a bi-tree

Comptes rendus. Mathématique, 2022-09, Vol.360 (G9), p.1039-1048

2022

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Mean type of functions of bounded characteristic and Martin functions in Denjoy domains

Advances in mathematics (New York. 1965), 2016-02, Vol.290, p.860-887

2016

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Weighted martingale multipliers in the non-homogeneous setting and outer measure spaces

Advances in mathematics (New York. 1965), 2015-11, Vol.285, p.1155-1188

2015

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Dimension of the Exceptional Set in the Aronszajn–Donoghue Theorem for Finite Rank Perturbations

International mathematics research notices, 2022-02, Vol.2022 (5), p.3297-3307

2022

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The Bellman Function Technique in Harmonic Analysis

Harmonic Analysis and Convexity

Tail spaces estimates on Hamming cube and Bernstein–Markov inequality

Logarithmic bump conditions and the two-weight boundedness of Calderón–Zygmund operators

Sharp weighted estimates for dyadic shifts and the A2 conjecture

THE SHARP SQUARE FUNCTION ESTIMATE WITH MATRIX WEIGHT

The Buffon's needle problem for random planar disk-like Cantor sets

Sign intermixing for Riesz bases and frames measured in the Kantorovich–Rubinstein norm

Entropy conditions in two weight inequalities for singular integral operators

Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular

Continuity of weighted estimates in A_{p} norm

On the uniform rectifiability of AD-regular measures with bounded Riesz transform operator: the case of codimension 1

Free boundary problems in the spirit of Sakai’s theorem

Bohnenblust–Hille inequality for cyclic groups

Noncommutative Bohnenblust–Hille inequalities

Counting eigenvalues of Schrödinger operators with fast decaying complex potentials

Convex body domination and weighted estimates with matrix weights

Poincaré inequality 3/2 on the Hamming cube

Rademacher type and Enflo type coincide

Sharp constants in the classical weak form of the John–Nirenberg inequality

On Tsirelson’s Theorem About Triple Points for Harmonic Measure

Essential differences of potential theories on a tree and on a bi-tree

Mean type of functions of bounded characteristic and Martin functions in Denjoy domains

Weighted martingale multipliers in the non-homogeneous setting and outer measure spaces

Dimension of the Exceptional Set in the Aronszajn–Donoghue Theorem for Finite Rank Perturbations

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