Boundedness and compactness of pseudodifferential operators with non-regular symbols on weighted Lebesgue spaces

DOI10.1007/s00020-012-1951-2zbMath1263.47061OpenAlexW1992878898MaRDI QIDQ714630

Yuri I. Karlovich

Publication date: 11 October 2012

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-012-1951-2

zbMATH Keywords

boundednessLebesgue spacecompactnesspseudodifferential operatorMuckenhoupt weightCarleson-Hunt theorembounded total variationbounded measurable and Lipschitz symbolsdyadic decompositionFredholm symbol calculusmaximal singular integral operators

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Pseudodifferential operators (47G30)

Related Items (2)

Algebras of Mellin pseudodifferential operators with quasicontinuous symbols ⋮ Algebras of convolution type operators with continuous data do not always contain all rank one operators

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