BMO-Boundedness of Maximal Operators and g-Functions Associated with Laguerre Expansions. (13th August 2012)

• Record Type: Journal Article
• Authors: Cha, Li; Liu, Heping
• Other Names: Gheondea Aurelian Academic Editor.
• Is Part Of: Journal of function spaces and applications. Volume 2012(2012)
• Publication Date: 2012-08-13
• Subjects: Function spaces -- Periodicals; 515.73
• DOI: 10.1155/2012/923874
• Languages: English
• ISSNs: 0972-6802

Abstract

Abstract : Let{ φ n α } n ∈ ℕ be the Laguerre functions of Hermite type with indexα . These are eigenfunctions of the Laguerre differential operatorL α = 1/2 ( - d 2 / d y 2 + y 2 + ( 1/ y 2 ) ( α 2 - 1 / 4 ) ) . In this paper, we investigate the boundedness of the Hardy-Littlewood maximal function, the heat maximal function, and the Littlewood-Paleyg -function associated withL α in the localized BMO spaceB M O L α, which is the dual space of the Hardy spaceH L α 1 .