The Boundedness of High Order Riesz-Bessel Transforms via Atomic-molecular Characterization on Weighted Hp △ ;! Spaces
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 23, Issue 4
Abstract
Let 0 < p ≤ 1 and w in the Muckenhoupt class Ap,ν . In this paper, we will characterize the weighted Hardy spaces in the setting of the Laplace-Bessel differential operators by means of the high order Riesz-Bessel transforms generated by generalized shift operator. We give the elemantary result that for certain weight functions w. We also obtain the Hp △ ,ω boundedness of high order Riesz-Bessel transform within the bounds of some necessary conditions through the atomic-molecular characterization.
Authors and Affiliations
Cansu Keskin, Ismail Ekincioglu
Keywords
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- EP ID EP322152
- DOI 10.9734/JAMCS/2017/35205
- Views 75
- Downloads 0
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