Characterizations of Besov-Type and Triebel–Lizorkin–Type Spaces via Averages on Balls

DOI10.4153/CMB-2016-076-7zbMath1372.42020MaRDI QIDQ4978587

Wen Yuan, Winfried Sickel, Ci Qiang Zhuo, Da Chun Yang

Publication date: 25 August 2017

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

zbMATH Keywords

Besov spaceTriebel-Lizorkin spaceCalderón reproducing formulaball average

Mathematics Subject Classification ID

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 (8)

Triebel–Lizorkin–Morrey spaces and differences ⋮ BESOV-TYPE SPACES AND DIFFERENCES ⋮ Characterizations of even-order Musielak-Orlicz-Sobolev spaces via ball averages and their derivatives ⋮ Complex interpolation of Besov-type spaces on domains ⋮ Littlewood-Paley functions and Sobolev spaces ⋮ 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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