Local Characterizations of Besov and Triebel-Lizorkin Spaces with Variable Exponent

We introduce new Besov and Triebel-Lizorkin spaces with variable integrable exponent, which are different from those introduced by the second author early. Then we characterize these spaces by the boundedness of the local Hardy-Littlewood maximal operator on variable exponent Lebesgue space. Finall...

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Bibliographic Details
Main Authors: Baohua Dong, Jingshi Xu
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2014/417341