A characterization of compactness for singular integrals

DOI10.1016/j.matpur.2015.03.006zbMath1343.42024arXiv1211.0672OpenAlexW2033305603MaRDI QIDQ491764

Paco Villarroya

Publication date: 19 August 2015

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.0672

zbMATH Keywords

waveletsCalderón-Zygmund operatorssingular integralscompact operators

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Linear operators defined by compactness properties (47B07) Integral operators (47G10)

Related Items (7)

Sparse domination results for compactness on weighted spaces ⋮ Extrapolation of compactness on weighted spaces ⋮ The Schatten classes of Calderón-Zygmund operators ⋮ Measures that define a compact Cauchy transform ⋮ Compactness of the commutators of intrinsic square functions on weighted Lebesgue spaces ⋮ Off-Diagonal and Pointwise Estimates for Compact Calderón-Zygmund Operators ⋮ A global \textit{Tb} theorem for compactness and boundedness of Calderón-Zygmund operators

Cites Work

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• A boundedness criterion for generalized Calderón-Zygmund operators
• Toeplitz and Hankel operators on the Paley-Wiener space
• On the compactness of operators of Hankel type
• Potential techniques for boundary value problems on \(C^1\)-domains
• Banach space theory. The basis for linear and nonlinear analysis
• Remarks on product 𝑉𝑀𝑂

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