Homogeneous Triebel-Lizorkin Spaces on Stratified Lie Groups
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-31
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
Homogeneous Triebel-Lizorkin spaces with full range of parameters are introduced on stratified Lie groups in terms of Littlewood-Paley-type decomposition.
It is shown that the scale of these spaces is independent of the choice of Littlewood-Paley-type decomposition and the sub-Laplacian used for the construction of the decomposition.
Some basic properties of these spaces are given.
As the main result of this paper, boundedness of a class of singular integral operators on these function spaces is obtained.
American Psychological Association (APA)
Hu, Guorong. 2013. Homogeneous Triebel-Lizorkin Spaces on Stratified Lie Groups. Journal of Function Spaces،Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-1006097
Modern Language Association (MLA)
Hu, Guorong. Homogeneous Triebel-Lizorkin Spaces on Stratified Lie Groups. Journal of Function Spaces No. 2013 (2013), pp.1-16.
https://search.emarefa.net/detail/BIM-1006097
American Medical Association (AMA)
Hu, Guorong. Homogeneous Triebel-Lizorkin Spaces on Stratified Lie Groups. Journal of Function Spaces. 2013. Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-1006097
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1006097
