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Estimate Mathematics
Operator Mathematics
Riesz transform Mathematics
Theorem Mathematics
Norm Mathematics
Boundedness Mathematics
Cantor set Mathematics
Zero Mathematics

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Grants 1992 2021

Publications 1981 2017

Convex body domination and weighted estimates with matrix weights

Nazarov, F., Petermichl, S., Treil, S. & Volberg, A. Oct 1 2017 In : Advances in Mathematics. 318, p. 279-306 28 p.

Research output: Contribution to journalArticle

Operator
Paraproduct
Calderón-Zygmund operator
Weighted estimates
Convex body

Improving beckner's bound via hermite functions

Ivanisvili, P. & Volberg, A. 2017 In : Analysis and PDE. 10, 4, p. 929-942 14 p.

Research output: Contribution to journalArticle

Hermite functions
Gaussian measure
Valid inequalities
Natural extension

Uniform approximation of Bloch functions and the boundedness of the integration operator on H

Smith, W., Stolyarov, D. M. & Volberg, A. Jul 9 2017 In : Advances in Mathematics. 314, p. 185-202 18 p.

Research output: Contribution to journalArticle

Bloch functions
Uniform approximation
Operator
Boundedness
Necessary conditions
2 Citations

Entropy conditions in two weight inequalities for singular integral operators

Treil, S. & Volberg, A. Oct 1 2016 In : Advances in Mathematics. 301, p. 499-548 50 p.

Research output: Contribution to journalArticle

Entropy
Young function
Orlicz norm
Entropy condition
Singular integral operator

Harmonic measure is rectifiable if it is absolutely continuous with respect to the co-dimension-one Hausdorff measure

Azzam, J., Hofmann, S., Martell, J. M., Mayboroda, S., Mourgoglou, M., Tolsa, X. & Volberg, A. Apr 1 2016 In : Comptes Rendus Mathematique. 354, 4, p. 351-355 5 p.

Research output: Contribution to journalArticle

Harmonic measure
Connected set
Hausdorff measure
Absolutely continuous
Open set