New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents

作者：Dong, Baohua; Xu, Jingshi^*

来源：Journal of Function Spaces and Applications, 2012, 384593.

DOI：10.1155/2012/384593

• BESSEL POTENTIAL SPACES
• SUBLINEAR-OPERATORS
• 2-MICROLOCAL BESOV
• MAXIMAL-FUNCTION
• BOUNDEDNESS
• DECOMPOSITION
• SMOOTHNESS

The authors establish the boundedness of vector-valued Hardy-Littlewood maximal operator in Herz spaces with variable exponents. Then new Herz type Besov and Triebel-Lizorkin spaces with variable exponents are introduced. Finally, characterizations of these new spaces by maximal functions are given.

• 出版日期2012
• 单位海南师范大学