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.

Key words： Variable exponent; Herz space; Besov space; Triebel-Lizorkin space; equivalent norm; maximal function

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