Verification of the Sharp Inequalities for Higher order Riesz-Laguerre Transforms

Please use this identifier to cite or link to this item: https://repository.sustech.edu/handle/123456789/16721

Title:	Verification of the Sharp Inequalities for Higher order Riesz-Laguerre Transforms
Authors:	Abd Allah,Shawgy Hussien Ammar . Elobied
Keywords:	Riesz-Laguerre transform, Polynomial expansion, Weak-type, Stein complex interpolation Theorem, Calderon-Zygmund-type, Riesz-Gauss transform
Issue Date:	2013
Publisher:	Sudan University of Science and Technology
Citation:	Abd Allah,Shawgy Hussien.Verification of the Sharp Inequalities for Higher order Riesz-Laguerre Transforms/Shawgy Hussein ,Ammar . Elobied.-Natural and Medical Sciences.-vol14,on2.-2013.-article
Abstract:	The weak-type (1, 1) boundedness of the higher order Riesz–Laguerre transforms associated with the Laguerre polynomials and the boundedness for the Riesz-Laguerre transforms of order 2 are considered. We show the sharp polynomial weight w that makes the Riesz–Laguerre transforms of order greater than or equal to 2 continuous from? L?^1 (w?d??_? ) into ? L?^(1,?) (?d??_? ) ,under specific value ? ,where ?_? is the Laguerre measure.
Description:	article
URI:	http://repository.sustech.edu/handle/123456789/16721
ISSN:	ISSN 1605-427X
Appears in Collections:	Volume 14 No. 2

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