We establish the boundedness of the bilinear -type generalized fractional integral and its commutator on nonhomogeneous metric measure space. Under the assumption that the functions and satisfy certain conditions, we prove that the bilinear -type generalized fractional integral is bounded from the product of generalized Morrey spaces into spaces , and it is also bounded from the product of spaces into generalized weak Morrey spaces . Furthermore, the boundedness of the commutator formed by and on spaces and on spaces is also obtained.
"BILINEAR -TYPE GENERALIZED FRACTIONAL INTEGRAL AND ITS COMMUTATOR ON NONHOMOGENEOUS METRIC MEASURE SPACES." Rocky Mountain J. Math. 53 (3) 839 - 857, June 2023. https://doi.org/10.1216/rmj.2023.53.839