@Article{JMS-55-2,
author = {Yuqin, Liu and Xing, Fu},
title = {Boundedness of Bilinear Fractional Integral Operators on Vanishing Generalized Morrey Spaces},
journal = {Journal of Mathematical Study},
year = {2022},
volume = {55},
number = {2},
pages = {109--123},
abstract = {<p style="text-align: justify;">In this paper, we establish the boundedness of the bilinear fractional integral operator $B_\alpha$ and the subbilinear fractional maximal operator $M_\alpha$ on vanishing generalized Morrey spaces $V_{0}L^{p,\varphi}(\mathbb{R}^n)$, $V_{\infty}L^{p,\varphi}(\mathbb{R}^n)$ and $V^{(*)}L^{p,\varphi}(\mathbb{R}^n)$. The main novelty of this article is that we control $B_{\alpha}$ by the subbilinear maximal operator $M$ and $M_{\alpha&#39;}$ with $\alpha&#39;&gt;\alpha$. Some specific examples for the main results of this paper are also included.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v55n2.22.01},
url = {https://global-sci.com/article/87644/boundedness-of-bilinear-fractional-integral-operators-on-vanishing-generalized-morrey-spaces}
}