Littlewood–Paley Characterizations of Second-Order Sobolev Spaces via Averages on Balls

DOI10.4153/CMB-2015-038-9zbMath1347.46027MaRDI QIDQ2788793

Wen Yuan, Ziyi He, Da Chun Yang

Publication date: 22 February 2016

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

Sobolev spaceball meansLusin-area function\(g^*_{\lambda}\)-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 (5)

Generalized Littlewood–Paley characterizations of fractional Sobolev spaces ⋮ Characterization of \(H^1\) Sobolev spaces by square functions of Marcinkiewicz type ⋮ Characterization of Sobolev spaces on the sphere ⋮ Littlewood-Paley functions and Sobolev spaces ⋮ Pointwise Characterizations of Even Order Sobolev Spaces via Derivatives of Ball Averages

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