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A Continuous Characterization of Triebel-Lizorkin Spaces Associated with Hermite Expansions.
- Source :
-
Journal of Function Spaces . 5/28/2015, Vol. 2015, p1-11. 11p. - Publication Year :
- 2015
-
Abstract
- We study the properties of the Triebel-Lizorkin spaces associated with the multidimensional Hermite expansions on Rd (d≥1). In addition to the endpoint estimates, we give the continuous characterizations of these spaces via harmonic and thermic extensions from Rd into R+d+1. Based on this result, we obtain the boundedness of Riesz transform associated with the Hermite expansions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 23148896
- Volume :
- 2015
- Database :
- Academic Search Index
- Journal :
- Journal of Function Spaces
- Publication Type :
- Academic Journal
- Accession number :
- 109149530
- Full Text :
- https://doi.org/10.1155/2015/104897