Taiwanese Journal of Mathematics
- Taiwanese J. Math.
- Volume 21, Number 2 (2017), 441-465.
Boundedness of Pseudodifferential Operators on Realized Homogeneous Besov Spaces
Saliha Meliani and Madani Moussai
Abstract
Using the notion of realizations, the realized homogeneous Besov spaces $\dot{\widetilde{B}}{^{s}_{p,q}}(\mathbb{R}^n)$ are subsets of tempered distributions. Then we will study the boundedness of some pseudodifferential operators on $\dot{\widetilde{B}}{^{s}_{p,q}}(\mathbb{R}^n)$, in the cases either $s \lt n/p$ or $s = n/p$ and $q = 1$.
Article information
Source
Taiwanese J. Math. Volume 21, Number 2 (2017), 441-465.
Dates
First available in Project Euclid: 29 June 2017
Permanent link to this document
http://projecteuclid.org/euclid.twjm/1498750961
Digital Object Identifier
doi:10.11650/tjm/7808
Subjects
Primary: 46E35: Sobolev spaces and other spaces of "smooth" functions, embedding theorems, trace theorems 47G30: Pseudodifferential operators [See also 35Sxx, 58Jxx]
Keywords
homogeneous Besov spaces littlewood-Paley decomposition pseudodifferential operators realizations
Citation
Meliani, Saliha; Moussai, Madani. Boundedness of Pseudodifferential Operators on Realized Homogeneous Besov Spaces. Taiwanese J. Math. 21 (2017), no. 2, 441--465. doi:10.11650/tjm/7808. http://projecteuclid.org/euclid.twjm/1498750961.
