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

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.

 Journal Title: Journal of Inequalities and Applications 2016, Vol.2016(1), pp.1-11 Main Author: Qu, Meng Other Authors: Wang, Jie Format: Electronic Article Language: English Subjects: ID: E-ISSN: 1029-242X ; DOI: 10.1186/s13660-015-0949-0 Zum Text:
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 recordid: springer_jour10.1186/s13660-015-0949-0 title: A note on fractional integral operators on Herz spaces with variable exponent format: Article creator: Qu, Meng Wang, Jie subjects: Herz spaces Lipschitz spaces fractional integral variable exponent ispartof: Journal of Inequalities and Applications, 2016, Vol.2016(1), pp.1-11 description: 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. language: eng source: identifier: E-ISSN: 1029-242X ; DOI: 10.1186/s13660-015-0949-0 fulltext: fulltext_linktorsrc issn: 1029-242X 1029242X url: Link

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titleA note on fractional integral operators on Herz spaces with variable exponent
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identifierE-ISSN: 1029-242X ; DOI: 10.1186/s13660-015-0949-0
subjectHerz spaces ; Lipschitz spaces ; fractional integral ; variable exponent
descriptionIn 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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 0 Qu, Meng 1 Wang, Jie
titleA note on fractional integral operators on Herz spaces with variable exponent
descriptionIn 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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 0 Herz spaces 1 Lipschitz spaces 2 fractional integral 3 variable exponent
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 0 Herz Spaces 1 Lipschitz Spaces 2 Fractional Integral 3 Variable Exponent
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abstractIn 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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pubSpringer International Publishing
doi10.1186/s13660-015-0949-0
pages1-11
issn10255834