Variation operators for semigroups associated with Fourier-Bessel expansions

Jorge J. Betancor; Alejandro J. Castro; Marta De León-Contreras

doi:10.3934/cpaa.2021176

Article Contents

2022, Volume 21, Issue 1: 239-273. Doi: 10.3934/cpaa.2021176

This issue Previous Article Large deviation principle for stochastic Burgers type equation with reflection Next Article A priori estimates for the Fractional p-Laplacian with nonlocal Neumann boundary conditions and applications

Variation operators for semigroups associated with Fourier-Bessel expansions

1.
Departamento de Análisis Matemático, Universidad de La Laguna, Campus de Anchieta, Avda. Astrofísico Sánchez, s/n, 38721 La Laguna (Sta. Cruz de Tenerife), Spain
2.
Department of Mathematics, Nazarbayev University, Kabanbay Batyr Ave. 53, Nur-Sultan 010000 Kazakhstan
3.
Department of Mathematical Sciences, Norwegian University of Science and Technology (NTNU), NO-7491 Trondheim, Norway

^* Corresponding author
^* Corresponding author

Received: March 31, 2021

Revised: August 31, 2021

Early access: November 2021

Published: January 2022

J. J. B. was partially supported by PID2019-106093GB-I00, A. J. C. by the Nazarbayev University FDCRGP 110119FD4544 and M. D L-C by EPSRC Research Grant EP/S029486/1 and the ERCIM 'Alain Bensoussan' Fellowship Programme

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Abstract

In this paper we establish L^p-boundedness properties for variation operators defined by semigroups associated with Fourier-Bessel expansions.

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Mathematics Subject Classification: Primary: 42B20, 42B25; Secondary: 42B30.

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