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	BMO SPACES FOR LAGUERRE EXPANSIONS
	Cha, Li ; Liu, Heping
	2012
关键词	BMO space Laguerre expansions Carlesson measures Fractional integral operator Riesz transform SCHRODINGER-OPERATORS RIESZ TRANSFORMS HARDY-SPACES
英文摘要	Let {phi(alpha)(n)}(n is an element of N) be the Laguerre functions of Hermite type with index alpha. These are eigenfunctions of the Laguerre differential operator L-alpha = 1/2 (-d(2)/dy(2) + y(2) + 1/y(2) (alpha(2) - 1/4)). We define and study a BMO-type space BMOL alpha, which is identified as the dual space of the Hardy-type space associated with La. We characterize BMOL alpha by Carlesson measures related to appropriate square functions. Finally, we prove the boundedness on this space of the fractional integral operator and the Riesz transform related to L-alpha.; Mathematics; SCI(E); 1; ARTICLE; 6; 2153-2186; 16
语种	英语
出处	SCI
出版者	taiwanese journal of mathematics
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/314371]
专题	数学科学学院
推荐引用方式 GB/T 7714	Cha, Li,Liu, Heping. BMO SPACES FOR LAGUERRE EXPANSIONS. 2012-01-01.

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