Singular integrals with product kernels associated with mixed homogeneities and Hardy spaces

DOI10.1215/00192082-11285717zbMATH Open1546.42016MaRDI QIDQ6561332

Chao-Qiang Tan, Y.-S. Han, Steven G. Krantz

Publication date: 25 June 2024

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

non-standard convolution singular integrals

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Cites Work

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• Boundedness of composition operators associated with mixed homogeneities on Lipschitz spaces
• A discrete transform and decompositions of distribution spaces
• Multipliers of the Hölder classes
• Calderón-type reproducing formula and the \(Tb\) theorem
• Hardy spaces associated with different homogeneities and boundedness of composition operators
• \(H^p\) spaces of several variables
• Some Further Classes of Pseudo-Differential and Singular-Integral Operators Arising in Boundary-Value Problems I Composition of Operators
• Lipschitz Spaces on Stratified Groups
• Littlewood-Paley theory on spaces of homogeneous type and the classical function spaces
• Singular integrals with mixed homogeneity

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