Weighted \(L^q\) estimates for derivatives of weighted \(H^p\) functions

DOI10.1007/BF02498227zbMath0920.42015OpenAlexW2056822474MaRDI QIDQ1282048

Richard L. Wheeden, J. Michael Wilson

Publication date: 15 August 1999

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59584

zbMATH Keywords

Bergman spaceatomLittlewood-Paley theoryCarleson measureweightweighted Hardy spacetent space

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) (H^p)-spaces (42B30)

Cites Work

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• A discrete transform and decompositions of distribution spaces
• The spaces \(L^ p\), with mixed norm
• Some new function spaces and their applications to harmonic analysis.
• Factorization of operators through \(L_{p\infty}\) or \(L_{p1}\) and non- commutative generalizations
• Some embedding theorems for spaces of harmonic functions
• Some generalizations of the Littlewood-Paley theorem
• Imbedding and multiplier theorems for discrete Littlewood-Paley spaces
• \(H^p\) spaces of several variables
• Interpolations by bounded analytic functions and the corona problem
• Weighted integral inequalities for the nontangential maximal function, Lusin area integral, and Walsh-Paley series
• Forward and Reverse Carleson Inequalities for Functions in Bergman Spaces and Their Derivatives
• Embedding Derivatives of Hardy Spaces into Lebesgue Spaces
• є-Families of Operators in Triebel-Lizorkin and Tent Spaces
• Weighted norm estimates for gradients of half-space extensions
• Extension of a theorem of Carleson
• Distribution function inequalities for the area integral

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