BMO-Boundedness of Maximal Operators and g-Functions Associated with Laguerre Expansions
Joint Authors
Source
Journal of Function Spaces and Applications
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-13
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
Let {φnα}n∈ℕ be the Laguerre functions of Hermite type with index α.
These are eigenfunctions of the Laguerre differential operator Lα=1/2(-d2/dy2+y2+(1/y2)(α2-1/4)).
In this paper, we investigate the boundedness of the Hardy-Littlewood maximal function, the heat maximal function, and the Littlewood-Paley g-function associated with Lα in the localized BMO space BMOLα, which is the dual space of the Hardy space HLα1.
American Psychological Association (APA)
Cha, Li& Liu, Heping. 2012. BMO-Boundedness of Maximal Operators and g-Functions Associated with Laguerre Expansions. Journal of Function Spaces and Applications،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-508444
Modern Language Association (MLA)
Cha, Li& Liu, Heping. BMO-Boundedness of Maximal Operators and g-Functions Associated with Laguerre Expansions. Journal of Function Spaces and Applications No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-508444
American Medical Association (AMA)
Cha, Li& Liu, Heping. BMO-Boundedness of Maximal Operators and g-Functions Associated with Laguerre Expansions. Journal of Function Spaces and Applications. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-508444
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-508444