(P; q)-admissible multilinear fractional integral operators and their commutators in product generalized local morrey spaces
Küçük Resim Yok
Tarih
2016
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
Anahtar Kelimeler
(p,q)-admissible multi-sublinear fractional integral operator, Commutator, Product generalized local morrey space
Kaynak
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
36
Sayı
4
