A note on rough singular integrals in Triebel-Lizorkin spaces and Besov spaces

DOI10.1186/1029-242X-2013-492zbMath1360.42013OpenAlexW2171988569WikidataQ59302072 ScholiaQ59302072MaRDI QIDQ2250382

Feng Liu, Daiqing Zhang, Huo Xiong Wu

Publication date: 7 July 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-492

zbMATH Keywords

Triebel-Lizorkin spacessingular integralsBesov spacesrough kernels

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (2)

ROUGH MAXIMAL SINGULAR INTEGRAL AND MAXIMAL OPERATORS SUPPORTED BY SUBVARIETIES ⋮ Boundedness and continuity of several integral operators with rough kernels in \(W \mathcal F_\beta (\mathrm S^{n-1})\) on Triebel-Lizorkin spaces

Cites Work

• On singular integral operators with rough kernel along surface
• A discrete transform and decompositions of distribution spaces
• Rough singular integrals on Triebel-Lizorkin space and Besov space
• Rough singular integrals supported on submanifolds
• Maximal and singular integral operators via Fourier transform estimates
• Singular integral operators on function spaces
• Boundedness of rough singular integral operators on the Triebel-Lizorkin spaces
• Singular integral operators with rough kernels supported by subvarieties

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