2-Microlocal Besov and Triebel-Lizorkin Spaces of Variable Integrability

Henning  Kempka

doi:10.5209/rev_REMA.2009.v22.n1.16353

2-Microlocal Besov and Triebel-Lizorkin Spaces of Variable Integrability

Henning Kempka

DOI: https://doi.org/10.5209/rev_REMA.2009.v22.n1.16353

Keywords: Besov spaces, Triebel-Lizorkin spaces, 2-microlocal spaces, Variable smoothness, Variable integrability, Local means

Abstract

We introduce 2-microlocal Besov and Triebel-Lizorkin spaces with variable integrability and give a characterization by local means. These spaces cover spaces of variable exponent, spaces of variable smoothness and weighted spaces that have been studied in recent years.

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2009-03-11

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Kempka, H. (2009). 2-Microlocal Besov and Triebel-Lizorkin Spaces of Variable Integrability. Revista Matemática Complutense, 22(1), 227-251. https://doi.org/10.5209/rev_REMA.2009.v22.n1.16353

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Vol. 22 No. 1 (2009)

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