Annales Academię Scientiarum Fennicę
Mathematica
Volumen 33, 2008, 511-522

VARIABLE BESOV AND TRIEBEL-LIZORKIN SPACES

Jingshi Xu

Hunan Normal University, Department of Mathematics
Changsha 410081, China; jshixu 'at' yahoo.com.cn

Abstract. In this paper, variable Besov and Triebel-Lizorkin spaces are introduced. Then equivalent norms of these new spaces are given.

2000 Mathematics Subject Classification: Primary 46E30, 42B25.

Key words: Variable exponent, Besov space, Triebel-Lizorkin space, maximal function.

Reference to this article: J. Xu: Variable Besov and Triebel-Lizorkin spaces. Ann. Acad. Sci. Fenn. Math. 33 (2008), 511-522.

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