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(P; q)-admissible multilinear fractional integral operators and their commutators in product generalized local morrey spaces
(Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 2016) Eroglu, Ahmet; Hasanov, Amil A.; Omarova, Mehriban N.
In this paper we prove the boundedness of the (p; q)-admissible multi-sublinear fractional integral operators T?,m from product generalized local Morrey space LM{x0} p1;?1×.. ×LM{x0} pm,?,m to LM{x0} p,?; We find the sufficient conditions on (?1;… ?m; ?) which ensures the boundedness of the commutators of (p; q)-admissible multilinear fractional integral operators Tb? ?;m from LM{x0} p1;?1×.. ×LM{x0} pm,?,m to LM{x0} p,?. In all cases the conditions for the boundedness of T?;m are given in terms of Zygmundtype integral inequalities on (?1; … ?m; ?), which do not require any assumption on monotonicity of ?1; … ?m; ? in r. © 2016, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All Rights Reserved.