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Boundedness of a Class of Sublinear Operators and Their Commutators on Generalized Morrey Spaces
Joint Authors
Guliyev, Vagif S.
Aliyev, Seymur S.
Karaman, Turhan
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-24
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
The authors study the boundedness for a large class of sublinear operator T generated by Calderón-Zygmund operator on generalized Morrey spaces Mp,φ.
As an application of this result, the boundedness of the commutator of sublinear operators Ta on generalized Morrey spaces is obtained.
In the case a∈BMO(ℝn), 1
In all cases, the conditions for the boundedness of Ta are given in terms of Zygmund-type integral inequalities on (φ1,φ2), which do not assume any assumption on monotonicity of φ1,φ2 in r.
Conditions of these theorems are satisfied by many important operators in analysis, in particular pseudodifferential operators, Littlewood-Paley operator, Marcinkiewicz operator, and Bochner-Riesz operator.
American Psychological Association (APA)
Guliyev, Vagif S.& Aliyev, Seymur S.& Karaman, Turhan. 2011. Boundedness of a Class of Sublinear Operators and Their Commutators on Generalized Morrey Spaces. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-18.
https://search.emarefa.net/detail/BIM-465365
Modern Language Association (MLA)
Guliyev, Vagif S.…[et al.]. Boundedness of a Class of Sublinear Operators and Their Commutators on Generalized Morrey Spaces. Abstract and Applied Analysis No. 2011 (2011), pp.1-18.
https://search.emarefa.net/detail/BIM-465365
American Medical Association (AMA)
Guliyev, Vagif S.& Aliyev, Seymur S.& Karaman, Turhan. Boundedness of a Class of Sublinear Operators and Their Commutators on Generalized Morrey Spaces. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-18.
https://search.emarefa.net/detail/BIM-465365
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-465365