UM
Unbounded holomorphic Fourier multipliers on starlike Lipschitz surfaces and applications to Sobolev spaces
Li P.1; Qian T.2
2014
Source PublicationNonlinear Analysis, Theory, Methods and Applications
ISSN0362546X
Volume95Pages:436-449
Abstract

By a generalization of Fueter's result, we establish the correspondence between the convolution operators and the Fourier multipliers on starlike Lipschitz surfaces. As applications, we obtain the Sobolev-boundedness of the Fourier multipliers and prove the equivalence between two classes of Hardy-Sobolev spaces on starlike Lipschitz surfaces.

KeywordFourier Multiplier Hardy-sobolev Spaces Quaternionic Space Singular Integral Starlike Lipschitz Surface
DOIhttps://doi.org/10.1016/j.na.2013.09.026
URLView the original
Indexed BySCIE
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000327483600035
Fulltext Access
Citation statistics
Cited Times [WOS]:0   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorLi P.
Affiliation1.Department of Mathematics, Shantou University, Shantou, 515063, China
2.Department of Mathematics, FST, University of Macau, Macau, PO Box 3001, China
Recommended Citation
GB/T 7714
Li P.,Qian T.. Unbounded holomorphic Fourier multipliers on starlike Lipschitz surfaces and applications to Sobolev spaces[J]. Nonlinear Analysis, Theory, Methods and Applications,2014,95:436-449.
APA Li P.,&Qian T..(2014).Unbounded holomorphic Fourier multipliers on starlike Lipschitz surfaces and applications to Sobolev spaces.Nonlinear Analysis, Theory, Methods and Applications,95,436-449.
MLA Li P.,et al."Unbounded holomorphic Fourier multipliers on starlike Lipschitz surfaces and applications to Sobolev spaces".Nonlinear Analysis, Theory, Methods and Applications 95(2014):436-449.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Li P.]'s Articles
[Qian T.]'s Articles
Baidu academic
Similar articles in Baidu academic
[Li P.]'s Articles
[Qian T.]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Li P.]'s Articles
[Qian T.]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.