Boundedness of convolution operators on triebel-lizorkin spaces via fourier transform estimates
Joint Authors
Source
Jordan Journal of Mathematics and Statistics
Issue
Vol. 4, Issue 3 (31 Dec. 2011), pp.201-218, 18 p.
Publisher
Yarmouk University Deanship of Research and Graduate Studies
Publication Date
2011-12-31
Country of Publication
Jordan
No. of Pages
18
Main Subjects
Abstract EN
In this paper, we study the boundedness of some convolution operators defined by Tf=∑_(k∈z σk*f) on the homogeneous Triebel-Lizorkin spaces by Fourier transform estimates.
As applications, we improve some known results, by proving the boundedness for singular integral operators with rough kernels on homogeneous Triebel-Lizorkin spaces.
American Psychological Association (APA)
Xia, Xia& Lu, Shanzhen. 2011. Boundedness of convolution operators on triebel-lizorkin spaces via fourier transform estimates. Jordan Journal of Mathematics and Statistics،Vol. 4, no. 3, pp.201-218.
https://search.emarefa.net/detail/BIM-298357
Modern Language Association (MLA)
Xia, Xia& Lu, Shanzhen. Boundedness of convolution operators on triebel-lizorkin spaces via fourier transform estimates. Jordan Journal of Mathematics and Statistics Vol. 4, no. 3 (Dec. 2011), pp.201-218.
https://search.emarefa.net/detail/BIM-298357
American Medical Association (AMA)
Xia, Xia& Lu, Shanzhen. Boundedness of convolution operators on triebel-lizorkin spaces via fourier transform estimates. Jordan Journal of Mathematics and Statistics. 2011. Vol. 4, no. 3, pp.201-218.
https://search.emarefa.net/detail/BIM-298357
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 218
Record ID
BIM-298357
