Bilinear Θ$\Theta$‐type Calderón–Zygmund operators and their commutators on product generalized fractional mixed Morrey spaces

Abstract

AbstractThe aim of this paper is to investigate the boundedness of the bilinear ‐type Calderón–Zygmund operator and its commutator on the product of generalized fractional mixed Morrey spaces. Under assumption that the positive and increasing functions defined on satisfy doubling conditions, we prove that the bilinear ‐type Calderón–Zygmund operator is bounded from the product of generalized fractional mixed Morrey spaces into spaces , where , , , for , and for . Furthermore, the boundedness of the commutator formed by and on spaces is also obtained.