A note on fractional integral operators on Herz spaces with variable exponent

Abstract In this note, we prove that the fractional integral operators from Herz spaces with variable exponent K ˙ p ( ⋅ ) , q α $\dot{K}^{\alpha}_{p(\cdot), q}$ to Lipschitz-type spaces are bounded provided p ( ⋅ ) $p(\cdot)$ is locally log-Hölder continuous and log-Hölder continuous at infinity....

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Bibliographic Details
Main Authors: Meng Qu, Jie Wang
Format: Article
Language:English
Published: SpringerOpen 2016-01-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-015-0949-0