Higher-Order Riesz Transforms in the Inverse Gaussian Setting and UMD Banach Spaces

In this paper, we study higher-order Riesz transforms associated with the inverse Gaussian measure given by πn/2ex2dx on ℝn. We establish Lpℝn,ex2dx-boundedness properties and obtain representations as principal values singular integrals for the higher-order Riesz transforms. New characterizations o...

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Bibliographic Details
Main Authors: Jorge J. Betancor, Lourdes Rodríguez-Mesa
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/6899603
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