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Weighted Morrey Estimates for Multilinear Fourier Multiplier Operators
Joint Authors
Li, Peng
Wang, Songbai
Jiang, Yinsheng
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-31
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The multilinear Fourier multipliers and their commutators with Sobolev regularity are studied.
The purpose of this paper is to establish that these operators are bounded on certain product Morrey spaces L p , k ( ℝ n ) .
Based on the boundedness of these operators from L p 1 ( ω 1 ) × ⋯ × L p m ( ω m ) to L p ( ∏ j = 1 m ω p / p j ) , we obtained that they are also bounded from L p 1 , k ( ω 1 ) × ⋯ × L p m , k ( ω m ) to L p , k ( ∏ j = 1 m ω p / p j ) , with 0 < k < 1 , 1 < p j < ∞ , 1 / p = 1 / p 1 + ⋯ + 1 / p m , and ω j ∈ A p j , j = 1 , … , m .
American Psychological Association (APA)
Wang, Songbai& Jiang, Yinsheng& Li, Peng. 2014. Weighted Morrey Estimates for Multilinear Fourier Multiplier Operators. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1033840
Modern Language Association (MLA)
Wang, Songbai…[et al.]. Weighted Morrey Estimates for Multilinear Fourier Multiplier Operators. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1033840
American Medical Association (AMA)
Wang, Songbai& Jiang, Yinsheng& Li, Peng. Weighted Morrey Estimates for Multilinear Fourier Multiplier Operators. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1033840
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033840