Generalized fractional integral operators on variable exponent Morrey type spaces over metric measure spaces

摘要

We prove the boundedness of generalized fractional integral operators I-rho,I-tau on variable exponent Morrey type spaces Lp(center dot), omega, theta(X) over non-doubling metric measure spaces X, where both rho(x, r) and omega(x, r) depend on x is an element of X. Our result extends the recent results by the authors.