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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Autores principales:	Jorge J. Betancor, Lourdes Rodríguez-Mesa
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/649a212d80d6475b97b1a14c424b8130
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spelling	oai:doaj.org-article:649a212d80d6475b97b1a14c424b81302021-11-22T01:10:24ZHigher-Order Riesz Transforms in the Inverse Gaussian Setting and UMD Banach Spaces2314-888810.1155/2021/6899603https://doaj.org/article/649a212d80d6475b97b1a14c424b81302021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/6899603https://doaj.org/toc/2314-8888In 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 of the Banach spaces having the UMD property by means of the Riesz transforms and imaginary powers of the operator involved in the inverse Gaussian setting are given.Jorge J. BetancorLourdes Rodríguez-MesaHindawi LimitedarticleMathematicsQA1-939ENJournal of Function Spaces, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Jorge J. Betancor Lourdes Rodríguez-Mesa Higher-Order Riesz Transforms in the Inverse Gaussian Setting and UMD Banach Spaces
description	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 of the Banach spaces having the UMD property by means of the Riesz transforms and imaginary powers of the operator involved in the inverse Gaussian setting are given.
format	article
author	Jorge J. Betancor Lourdes Rodríguez-Mesa
author_facet	Jorge J. Betancor Lourdes Rodríguez-Mesa
author_sort	Jorge J. Betancor
title	Higher-Order Riesz Transforms in the Inverse Gaussian Setting and UMD Banach Spaces
title_short	Higher-Order Riesz Transforms in the Inverse Gaussian Setting and UMD Banach Spaces
title_full	Higher-Order Riesz Transforms in the Inverse Gaussian Setting and UMD Banach Spaces
title_fullStr	Higher-Order Riesz Transforms in the Inverse Gaussian Setting and UMD Banach Spaces
title_full_unstemmed	Higher-Order Riesz Transforms in the Inverse Gaussian Setting and UMD Banach Spaces
title_sort	higher-order riesz transforms in the inverse gaussian setting and umd banach spaces
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/649a212d80d6475b97b1a14c424b8130
work_keys_str_mv	AT jorgejbetancor higherorderriesztransformsintheinversegaussiansettingandumdbanachspaces AT lourdesrodriguezmesa higherorderriesztransformsintheinversegaussiansettingandumdbanachspaces
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Higher-Order Riesz Transforms in the Inverse Gaussian Setting and UMD Banach Spaces

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