The isomorphic classification of Besov spaces over \(\mathbb R^d\) revisited

DOI10.1215/17358787-3336542zbMath1354.46034OpenAlexW2216842781MaRDI QIDQ258957

Fernando Albiac, José Luis Ansorena

Publication date: 10 March 2016

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bjma/1447253823

zbMATH Keywords

waveletssequence spaces\(L_{p}\)-spacesBesov spaces (weighted)isomorphic classification

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03) Banach sequence spaces (46B45)

Related Items (3)

Isomorphic classification of mixed sequence spaces and of Besov spaces over [0, 1^d] ⋮ Building highly conditional almost greedy and quasi-greedy bases in Banach spaces ⋮ Triebel-Lizorkin spaces with general weights

Cites Work

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• Ondelettes et bases hilbertiennes. (Wavelets and Hilbert bases)
• Convolution multipliers on weighted Besov spaces
• Wavelet bases in generalized Besov spaces
• Characterisations of function spaces of generalised smoothness
• On the mutually non isomorphic ℓp(ℓq) spaces
• Characterization of Weighted Besov Spaces
• History of Banach Spaces and Linear Operators
• Über die Existenz von Schauderbasen in Sobolev-Besov-Räumen. Isomorphiebeziehungen

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