On the Theory of Multilinear Singular Operators with Rough Kernels on the Weighted Morrey Spaces
Joint Authors
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-08-04
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We study some multilinear operators with rough kernels.
For the multilinear fractional integral operators T Ω , α A and the multilinear fractional maximal integral operators M Ω , α A , we obtain their boundedness on weighted Morrey spaces with two weights L p , κ ( u , v ) when D γ A ∈ Λ ˙ β ( | γ | = m - 1 ) or D γ A ∈ B M O ( | γ | = m - 1 ) .
For the multilinear singular integral operators T Ω A and the multilinear maximal singular integral operators M Ω A , we show they are bounded on weighted Morrey spaces with two weights L p , κ ( u , v ) if D γ A ∈ Λ ˙ β ( | γ | = m - 1 ) and bounded on weighted Morrey spaces with one weight L p , κ ( w ) if D γ A ∈ B M O ( | γ | = m - 1 ) for m = 1,2 .
American Psychological Association (APA)
He, Sha& Tao, Xiangxing. 2016. On the Theory of Multilinear Singular Operators with Rough Kernels on the Weighted Morrey Spaces. Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1108604
Modern Language Association (MLA)
He, Sha& Tao, Xiangxing. On the Theory of Multilinear Singular Operators with Rough Kernels on the Weighted Morrey Spaces. Journal of Function Spaces No. 2016 (2016), pp.1-13.
https://search.emarefa.net/detail/BIM-1108604
American Medical Association (AMA)
He, Sha& Tao, Xiangxing. On the Theory of Multilinear Singular Operators with Rough Kernels on the Weighted Morrey Spaces. Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1108604
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1108604