INVESTIGADORES
DALMASSO Estefania Dafne
artículos
Título:
Bellman functions and dimension free L^p-estimates for the Riesz transforms in Bessel settings
Autor/es:
BETANCOR, JORGE J.; DALMASSO, ESTEFANÍA; FARIÑA, JUAN C.; SCOTTO, ROBERTO
Revista:
JOURNAL OF NONLINEAR ANALYSIS
Editorial:
PERGAMON-ELSEVIER SCIENCE LTD
Referencias:
Año: 2020 vol. 197
ISSN:
0362-546X
Resumen:
In this article we prove dimension free $L^p$?boundedness of Riesz transforms associated with a Bessel differential operator. We obtain explicit estimates of the $L^p$?norms for the Bessel?Riesz transforms in terms of $p$, establishing a linear behavior with respect to $p$. We use the Bellman function technique to prove a bilinear dimension free inequality involving Poisson semigroups defined through this Bessel operator.
