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Commun. Korean Math. Soc. 2022; 37(4): 1099-1129
Online first article September 21, 2022 Printed October 31, 2022
https://doi.org/10.4134/CKMS.c210361
Copyright © The Korean Mathematical Society.
Liouville theorems for the multidimensional fractional Bessel operators
Vanesa Galli, Sandra Molina, Alejandro Quintero
Universidad Nacional de Mar del Plata; Universidad Nacional de Mar del Plata; Universidad Nacional de Mar del Plata
In this paper, we establish Liouville type theorems for the fractional powers of multidimensional Bessel operators extending the results given in \cite{GMQ18}. In order to do this, we consider the distributional point of view of fractional Bessel operators studied in \cite{Mo18}.
Keywords: Liouville theorem, Bessel operator, Hankel transform
MSC numbers: Primary 47A60, 46F10, 46F12, 46F30
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