TY - JOUR
T1 - The Boundedness for a Class of Rough Fractional Integral Operators on Variable Exponent Lebesgue Spaces
AU - Huiling Wu , 
AU - Lan , Jiacheng
JO - Analysis in Theory and Applications
VL - 3
SP - 286
EP - 293
PY - 2012
DA - 2012/10
SN - 28
DO - http://doi.org/10.3969/j.issn.1672-4070.2012.03.009
UR - https://global-sci.org/intro/article_detail/ata/4564.html
KW - fractional integral, rough kernel, variable exponent Lebesgue space.
AB - <p style="text-align: justify;">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 $L^{p_1(\cdot)}(\mathbf{R}^n)$&nbsp;to $L^{p_2(\cdot)}(\mathbf{R}^n)$.</p>