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$%H. Kempka, 2-microlocal Besov and Triebel-Lizorkin spaces of variable integrability, Rev. Mat. Complut. 22 (2009), no. 1, 227–251.%$

2-Microlocal Besov and Triebel-Lizorkin Spaces of Variable Integrability
Henning KEMPKA
Mathematical Institut
Friedrich Schiller University Jena
D-07737 Jena — Germany


Received: October 14, 2008
Accepted: November 13, 2008


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.

Key words: Besov spaces, Triebel-Lizorkin spaces, 2-microlocal spaces, variable smoothness, variable integrability, local means.
2000 Mathematics Subject Classification: