Littlewood–Paley characterizations of higher‐order Sobolev spaces via averages on balls

DOI10.1002/mana.201600457zbMath1391.46040OpenAlexW2754263027MaRDI QIDQ4606968

Wen Yuan, Ziyi He, Da Chun Yang

Publication date: 9 March 2018

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201600457

zbMATH Keywords

Sobolev spaceCalderón-Zygmund operatorLusin area functionball averageLittlewood-Paley \(g_{\lambda}^{*}\) 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 (3)

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

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