Volume 28, Issue 3
The 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

Cited by

Export citation
• 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 $L^{p_2(\cdot)}(\mathbf{R}^n)$.

• BibTex
• RIS
• TXT
@Article{ATA-28-286, author = {Huiling Wu , and Lan , Jiacheng}, title = {The 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 integral operators on variable exponent Lebesgue spaces, and establish their boundedness from $L^{p_1(\cdot)}(\mathbf{R}^n)$ to $L^{p_2(\cdot)}(\mathbf{R}^n)$.

}, 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 - 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 -

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 $L^{p_2(\cdot)}(\mathbf{R}^n)$.

Huiling Wu & Jiacheng Lan. (1970). The Boundedness for a Class of Rough Fractional Integral Operators on Variable Exponent Lebesgue Spaces. Analysis in Theory and Applications. 28 (3). 286-293. doi:10.3969/j.issn.1672-4070.2012.03.009
Copy to clipboard
The citation has been copied to your clipboard