The Boundedness for a Class of Rough Fractional Integral Operators on Variable Exponent Lebesgue Spaces

Huiling Wu; Jiacheng Lan

doi:10.3969/j.issn.1672-4070.2012.03.009

The Boundedness for a Class of Rough Fractional Integral Operators on Variable Exponent Lebesgue Spaces

Authors

Huiling Wu
Jiacheng Lan

DOI:

https://doi.org/10.3969/j.issn.1672-4070.2012.03.009

Keywords:

fractional integral, rough kernel, variable exponent Lebesgue space.

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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Published

2012-10-08

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Issue

Vol. 28 No. 3 (2012)

Section

Articles

How to Cite

The Boundedness for a Class of Rough Fractional Integral Operators on Variable Exponent Lebesgue Spaces. (2012). Analysis in Theory and Applications, 28(3), 286-293. https://doi.org/10.3969/j.issn.1672-4070.2012.03.009