Estimate for bilinear fractional integral operator and its commutator on generalized Morrey-Banach spaces
In this paper,the authors mainly discuss the boundedness of bilinear fractional inte-gral operator Bα and its commutator Bα,b1,b2 on generalized Morrey-Banach spaces Mu(X).Under assumption that the Lebesgue measurable function u satisfies some certain conditions,the anthors prove bilinear fractional integral operator Bα is bounded from product spaces Mu1(Xi)× Mu2(X2)into spaces Mu(Y).Further,the paper also proves that the commutator Bα,b1,b2 generated by b1,b2 ∈ BMO(X)and Bα are bounded from product spaces Mu1(X1)×Mu2(X2)into spaces Mu(Y),where u1u2=u.
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