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January  2022, 21(1): 239-273. doi: 10.3934/cpaa.2021176

## 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

Received  April 2021 Revised  September 2021 Published  January 2022 Early access  November 2021

Fund Project: 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

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

Citation: Jorge J. Betancor, Alejandro J. Castro, Marta De León-Contreras. Variation operators for semigroups associated with Fourier-Bessel expansions. Communications on Pure & Applied Analysis, 2022, 21 (1) : 239-273. doi: 10.3934/cpaa.2021176
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