Lipschitz type smoothness of the fractional integral on variable exponent spaces

We give conditions on p(⋅) in order to ensure boundedness of the fractional integral operator Iα from strong and weak Lp(⋅) spaces into suitable integral Lipschitz-type spaces.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2013-07, Vol.403 (1), p.95-106
Main Authors: Ramseyer, M., Salinas, O., Viviani, B.
Format: Article
Language:English
Subjects:
Fractional integral
Variable exponent
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Description
Summary:We give conditions on p(⋅) in order to ensure boundedness of the fractional integral operator Iα from strong and weak Lp(⋅) spaces into suitable integral Lipschitz-type spaces.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2012.12.074