Pointwise characterizations of Besov and Triebel-Lizorkin spaces in terms of averages on balls

DOI10.1090/tran/6871zbMath1390.46038OpenAlexW2606546803MaRDI QIDQ5369007

Wen Yuan, Da Chun Yang

Publication date: 11 October 2017

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

Full work available at URL: https://doi.org/10.1090/tran/6871

zbMATH Keywords

Calderón reproducing formulapointwise characterizationball averagehomogenous and inhomogenous Besov and Triebel-Lizorkin spaces

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)

Related Items (9)

Equivalent characterization on Besov space ⋮ Characterization of Sobolev spaces on the sphere ⋮ Characterizations of even-order Musielak-Orlicz-Sobolev spaces via ball averages and their derivatives ⋮ Littlewood-Paley characterizations of weighted anisotropic Triebel-Lizorkin spaces via averages on balls. I ⋮ WEIGHTED BESOV AND TRIEBEL–LIZORKIN SPACES ASSOCIATED WITH OPERATORS AND APPLICATIONS ⋮ Littlewood-Paley functions and Sobolev spaces ⋮ Pointwise Characterizations of Even Order Sobolev Spaces via Derivatives of Ball Averages ⋮ Variable Triebel-Lizorkin-Lorentz spaces associated to operators ⋮ Littlewood-Paley Functions and Triebel-Lizorkin Spaces, Besov Spaces

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