ATOMIC DECOMPOSITION OF WEIGHTED TRIEBEL–LIZORKIN SPACES ON SPACES OF HOMOGENEOUS TYPE

DOI10.1017/S144678871000159XzbMath1221.46034MaRDI QIDQ3008155

Ji Li

Publication date: 14 June 2011

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

zbMATH Keywords

atomspace of homogeneous typeweightTriebel-Lizorkin spaceCalderón reproducing formula

Mathematics Subject Classification ID

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) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (8)

Weak Hardy spaces associated with ball quasi-Banach function spaces on spaces of homogeneous type: decompositions, real interpolation, and Calderón-Zygmund operators ⋮ Hardy spaces associated with ball quasi-Banach function spaces on spaces of homogeneous type: Littlewood-Paley characterizations with applications to boundedness of Calderón-Zygmund operators ⋮ Poincaré inequality meets Brezis-Van Schaftingen-Yung formula on metric measure spaces ⋮ Hardy spaces associated with ball quasi‐Banach function spaces on spaces of homogeneous type: Characterizations of maximal functions, decompositions, and dual spaces ⋮ Anisotropic ball Campanato-type function spaces and their applications ⋮ A study of one-sided singular integral and function space via reproducing formula ⋮ Molecular characterization of weak Hardy spaces associated with ball quasi-Banach function spaces on spaces of homogeneous type with its applications to Littlewood-Paley function characterizations ⋮ Wavelet characterization of Triebel-Lizorkin spaces for \(p = \infty\) on spaces of homogeneous type and its applications

Cites Work

• Unnamed Item
• A discrete transform and decompositions of distribution spaces
• Opérateurs de Calderón-Zygmund, fonctions para-accrétives et interpolation. (Calderón-Zygmund operators, para-accretive functions and interpolation)
• Lipschitz functions on spaces of homogeneous type
• Calderón-type reproducing formula and the \(Tb\) theorem
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• Some new spaces of Besov and Triebel–Lizorkin type on homogeneous spaces
• Wavelet characterization of weighted spaces

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