TY - JOUR
T1 - Boundedness of Bilinear Fractional Integral Operators on Vanishing Generalized Morrey Spaces
AU - Liu , Yuqin
AU - Fu , Xing
JO - Journal of Mathematical Study
VL - 2
SP - 109
EP - 123
PY - 2022
DA - 2022/04
SN - 55
DO - http://doi.org/10.4208/jms.v55n2.22.01
UR - https://global-sci.org/intro/article_detail/jms/20490.html
KW - Bilinear fractional integral operator, subbilinear fractional maximal operator, generalized Morrey space, vanishing property.
AB - <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>