Herz type Besov and Triebel-Lizorkin spaces with variable exponent

Abstract

The Herz type Besov and Triebel-Lizorkin spaces with variable exponent are introduced. Then characterizations of these new spaces by maximal functions are given.

Keywords

Variable exponent / Herz space / Besov space / Triebel-Lizorkin space / equivalent norm / maximal function

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