A new characterization of Triebel-Lizorkin spaces on \(\mathbb{R}^n\)

DOI10.5565/PUBLMAT_57113_02zbMath1291.46036OpenAlexW2317273544WikidataQ110212936 ScholiaQ110212936MaRDI QIDQ2636750

Wen Yuan, Yuan Zhou, Da Chun Yang

Publication date: 31 January 2014

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pm/1355854298

zbMATH Keywords

Besov spaceTriebel-Lizorkin spacesquare function

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (8)

Pointwise characterizations of Besov and Triebel-Lizorkin spaces in terms of averages on balls ⋮ Characterizations of Besov and Triebel-Lizorkin spaces via averages on balls ⋮ Littlewood-Paley characterizations of Hajłasz-Sobolev and Triebel-Lizorkin spaces via averages on balls ⋮ Characterizations of even-order Musielak-Orlicz-Sobolev spaces via ball averages and their derivatives ⋮ Littlewood-Paley characterizations of Triebel-Lizorkin-Morrey spaces via ball averages ⋮ Littlewood-Paley characterizations of weighted anisotropic Triebel-Lizorkin spaces via averages on balls. I ⋮ Pointwise Characterizations of Even Order Sobolev Spaces via Derivatives of Ball Averages ⋮ Littlewood-Paley Functions and Triebel-Lizorkin Spaces, Besov Spaces

Cites Work

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• Classical Fourier Analysis
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• Lebesgue and Lipschitz spaces and integrals of the Marcinkiewicz type
• Some Maximal Inequalities
• A note on a generalized hypersingular integral

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