The Boundedness for a Class of Rough Fractional Integral Operators on Variable Exponent Lebesgue Spaces
Year: 2012
Author: Huiling Wu, Jiacheng Lan
Analysis in Theory and Applications, Vol. 28 (2012), Iss. 3 : pp. 286–293
Abstract
In this paper, we will discuss the behavior of a class of rough fractional integral operators on variable exponent Lebesgue spaces, and establish their boundedness from $L^{p_1(\cdot)}(\mathbf{R}^n)$ to $L^{p_2(\cdot)}(\mathbf{R}^n)$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.3969/j.issn.1672-4070.2012.03.009
Analysis in Theory and Applications, Vol. 28 (2012), Iss. 3 : pp. 286–293
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: fractional integral rough kernel variable exponent Lebesgue space.