Characterizations of Besov and Triebel-Lizorkin spaces via averages on balls
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Publication:499215
DOI10.1016/j.jmaa.2015.08.054zbMath1331.46023arXiv1507.08004OpenAlexW2962955753MaRDI QIDQ499215
Feng Dai, Wen Yuan, Amiran Gogatishvili, Da Chun Yang
Publication date: 30 September 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.08004
Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)
Related Items (12)
Generalized Littlewood–Paley characterizations of fractional Sobolev spaces ⋮ Pointwise characterizations of Besov and Triebel-Lizorkin spaces in terms of averages on balls ⋮ Molecular decomposition and Fourier multipliers for holomorphic Besov and Triebel-Lizorkin spaces ⋮ 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 ⋮ Littlewood-Paley functions and Sobolev spaces ⋮ Molecular decomposition of anisotropic homogeneous mixed-norm spaces with applications to the boundedness of operators ⋮ Pointwise Characterizations of Even Order Sobolev Spaces via Derivatives of Ball Averages ⋮ Littlewood-Paley Functions and Triebel-Lizorkin Spaces, Besov Spaces ⋮ Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations
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