Commutators of sublinear operators generated by Caldern-Zygmund operator on generalized weighted Morrey spaces
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Tarih
2014
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Heidelberg
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, the boundedness of a large class of sublinear commutator operators T (b) generated by a Caldern-Zygmund type operator on a generalized weighted Morrey spaces with the weight function w belonging to Muckenhoupt's class A (p) is studied. When 1 < p < a and b a BMO, sufficient conditions on the pair (phi (1), phi (2)) which ensure the boundedness of the operator T (b) from to are found. In all cases the conditions for the boundedness of T (b) are given in terms of Zygmund-type integral inequalities on (phi (1), phi (2)), which do not require any assumption on monotonicity of phi (1)(x, r), phi (2)(x, r) in r. Then these results are applied to several particular operators such as the pseudo-differential operators, Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator.
Açıklama
Mustafayev, Rza/0000-0002-2806-9646
Anahtar Kelimeler
generalized weighted Morrey space, sublinear operator, commutator, BMO space, maximal operator, Calderon-Zygmund operator
Kaynak
Czechoslovak Mathematical Journal
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
64
Sayı
2
Künye
closedAccess
