Volume 28, Issue 3
Boundedness for a Class of Rough Fractional Integral Operators on Variable Exponent Lebesgue Spaces

Anal. Theory Appl., 28 (2012), pp. 286-293

Published online: 2012-10

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• Abstract

In this paper, we will discuss the behavior of a class of rough fractional integraloperators on variable exponent Lebesgue spaces,and establish their boundedness from$L^{p_1}(\cdot)(R^n)$ to $L^{p_2}(\cdot)(R^n)$.

• Keywords

fractional integral rough kernel variable exponent Lebesgue space

@Article{ATA-28-286, author = {Yingbo Han and Shuxiang Feng}, title = {Boundedness for a Class of Rough Fractional Integral Operators on Variable Exponent Lebesgue Spaces}, journal = {Analysis in Theory and Applications}, year = {2012}, volume = {28}, number = {3}, pages = {286--293}, abstract = {In this paper, we will discuss the behavior of a class of rough fractional integraloperators on variable exponent Lebesgue spaces,and establish their boundedness from$L^{p_1}(\cdot)(R^n)$ to $L^{p_2}(\cdot)(R^n)$.}, issn = {1573-8175}, doi = {https://doi.org/10.3969/j.issn.1672-4070.2012.03.009}, url = {http://global-sci.org/intro/article_detail/ata/4564.html} }
TY - JOUR T1 - Boundedness for a Class of Rough Fractional Integral Operators on Variable Exponent Lebesgue Spaces AU - Yingbo Han & Shuxiang Feng JO - Analysis in Theory and Applications VL - 3 SP - 286 EP - 293 PY - 2012 DA - 2012/10 SN - 28 DO - http://dor.org/10.3969/j.issn.1672-4070.2012.03.009 UR - https://global-sci.org/intro/article_detail/ata/4564.html KW - fractional integral KW - rough kernel KW - variable exponent Lebesgue space AB - In this paper, we will discuss the behavior of a class of rough fractional integraloperators on variable exponent Lebesgue spaces,and establish their boundedness from$L^{p_1}(\cdot)(R^n)$ to $L^{p_2}(\cdot)(R^n)$.