Continuous frame decomposition and a vector Hunt-Muckenhoupt-Wheeden theorem

DOI10.1007/BF02559975zbMath0961.44006OpenAlexW2018697834MaRDI QIDQ1127034

S. R. Treil', Alexander Volberg

Publication date: 7 June 2001

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02559975

zbMATH Keywords

Hardy spaceHilbert transformweighted norm inequalitiesHunt-Muckenhoupt-Wheeden theoremcontinuous frame decomposition

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Norms (inequalities, more than one norm, etc.) of linear operators (47A30)

Related Items (10)

The Mackenhoupt condition and an estimating problem ⋮ Characterizations of \(A_{2}\) matrix power weights ⋮ Projection operators on matrix weighted $L^p$ and a simple sufficient Muckenhoupt condition ⋮ Summation of multiple Fourier series in matrix weighted \(L_p\)-spaces ⋮ On stability of finitely generated shift-invariant systems ⋮ Bounds for the Hilbert transform with matrix \(A_{2}\) weights ⋮ Matrix $A_p$ weights via $S$-functions ⋮ Szegő's theorem and its probabilistic descendants ⋮ Vector $A_2$ weights and a Hardy-Littlewood maximal function ⋮ Trigonometric bases for matrix weighted \(L_p\)-spaces

Cites Work

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• Applications of commutator theory to weighted BMO and matrix analogs of \(A_ 2\)
• A Commutator Theorem and Weighted BMO
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• Products of Toeplitz operators
• Wavelets and the angle between past and future

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