New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents
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.
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2012-01-01
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Series: | Journal of Function Spaces and Applications |
Online Access: | http://dx.doi.org/10.1155/2012/384593 |