Some new Besov and Triebel-Lizorkin spaces associated with para-accretive functions on spaces of homogeneous type

DOI10.1017/S1446788700013094zbMath1093.42015OpenAlexW2084347638MaRDI QIDQ5480052

Dongguo Deng, Da Chun Yang

Publication date: 25 July 2006

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788700013094

zbMATH Keywords

interpolationBesov spaceembedding theoremsspace of homogeneous typelifting propertyRiesz potentialTriebel-Lizorkin space\(Tb\) theoremCalderón reproducing formulapara-accretive functionPlancherel-Pólya inequality

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) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Harmonic analysis on homogeneous spaces (43A85) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Linear operators on function spaces (general) (47B38)

Related Items (6)

The \(Tb\) theorem for inhomogeneous Besov and Triebel-Lizorkin spaces and its application ⋮ Singular integral operators on Triebel-Lizorkin spaces of para-accretive type ⋮ \(Tb\) theorem for Triebel-Lizorkin spaces over spaces of homogeneous type and their applications ⋮ \(T1\) theorem on homogeneous product Besov spaces and product Triebel-Lizorkin spaces ⋮ Inhomogeneous Besov and Triebel-Lizorkin spaces associated with a para-accretive function and their applications ⋮ Triebel-Lizorkin spaces of para-accretive type and a \(Tb\) theorem

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