A Continuous Characterization of Triebel-Lizorkin Spaces Associated with Hermite Expansions
Joint Authors
Ma, Bolin
Gong, Shuli
Fu, Zun Wei
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-05-28
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Gong, Shuli& Ma, Bolin& Fu, Zun Wei. 2015. A Continuous Characterization of Triebel-Lizorkin Spaces Associated with Hermite Expansions. Journal of Function Spaces،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1068215
Modern Language Association (MLA)
Gong, Shuli…[et al.]. A Continuous Characterization of Triebel-Lizorkin Spaces Associated with Hermite Expansions. Journal of Function Spaces No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1068215
American Medical Association (AMA)
Gong, Shuli& Ma, Bolin& Fu, Zun Wei. A Continuous Characterization of Triebel-Lizorkin Spaces Associated with Hermite Expansions. Journal of Function Spaces. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1068215
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1068215
