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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| 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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