Littlewood–Paley characterizations of fractional Sobolev spaces via averages on balls

DOI10.1017/S0308210517000440zbMath1414.46025arXiv1511.07598OpenAlexW2963942462MaRDI QIDQ4645782

Wen Yuan, Jun Liu, Feng Dai, Da Chun Yang

Publication date: 10 January 2019

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.07598

zbMATH Keywords

Sobolev spaceLusin area functionball average\(g^\ast_{\lambda}\)-function

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)

Related Items (5)

Characterization of \(H^1\) Sobolev spaces by square functions of Marcinkiewicz type ⋮ Characterization of Sobolev spaces on the sphere ⋮ Characterizations of even-order Musielak-Orlicz-Sobolev spaces via ball averages and their derivatives ⋮ Pointwise Characterizations of Even Order Sobolev Spaces via Derivatives of Ball Averages ⋮ Littlewood-Paley Functions and Triebel-Lizorkin Spaces, Besov Spaces

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