Some estimates of rough bilinear fractional integral (Q1936449)

Summary: We study the boundedness of the rough bilinear fractional integral \(B_{\Omega, \alpha}\) on Morrey spaces \(L^{p, \lambda}(\mathbb R^n)\) and modified Morrey spaces \(\tilde{L}^{p, \lambda}(\mathbb R^n)\) and obtain some sufficient and necessary conditions on the parameters. Furthermore, we consider the boundedness of \(B_{\Omega, \alpha}\) on generalized central Morrey spaces \(\dot{B}^{p, \varphi}(\mathbb R^n)\). These extend some known results.