Taiwanese Journal of Mathematics
- Taiwanese J. Math.
- Volume 17, Number 6 (2013), 2019-2037.
MULTI-PARAMETER TRIEBEL-LIZORKIN AND BESOV SPACES ASSOCIATED WITH ZYGMUND DILATION
Fanghui Liao and Zongguang Liu
Abstract
In this paper, the authors use the discrete Littlewood-Paley-Stein theory to develop a theory of multi-parameter Triebel-Lizorkin and Besov spaces associated with Zygmund dilation. They also obtain the boundedness of Ricci-Stein singular integral operators on multi-parameter Triebel-Lizorkin and Besov spaces associated with Zygmund dilation.
Article information
Source
Taiwanese J. Math., Volume 17, Number 6 (2013), 2019-2037.
Dates
First available in Project Euclid: 10 July 2017
Permanent link to this document
https://projecteuclid.org/euclid.twjm/1499706283
Digital Object Identifier
doi:10.11650/tjm.17.2013.3243
Mathematical Reviews number (MathSciNet)
MR3141872
Zentralblatt MATH identifier
1282.42013
Subjects
Primary: 42B20: Singular and oscillatory integrals (Calderón-Zygmund, etc.) 42B35: Function spaces arising in harmonic analysis
Keywords
Zygmund dilation Calderón's identity almost orthogonal estimates multi-parameter Triebel-Lizorkin and Besov spaces
Citation
Liao, Fanghui; Liu, Zongguang. MULTI-PARAMETER TRIEBEL-LIZORKIN AND BESOV SPACES ASSOCIATED WITH ZYGMUND DILATION. Taiwanese J. Math. 17 (2013), no. 6, 2019--2037. doi:10.11650/tjm.17.2013.3243. https://projecteuclid.org/euclid.twjm/1499706283