An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation

DOI10.1090/memo/0882zbMath1186.46028OpenAlexW2020149798MaRDI QIDQ5755534

Lars Inge Hedberg, Yuri Netrusov

Publication date: 13 August 2007

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0882

zbMATH Keywords

Besov spacesspectral synthesislocal approximationsvector-valued maximal inequalityatomic representationshigher differencesWhitney's ideal theorem

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) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Potentials and capacities on other spaces (31C15) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Other generalizations (nonlinear potential theory, etc.) (31C45) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

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