Variation operators for semigroups associated with Fourier-Bessel expansions

TL;DR

This paper investigates the boundedness of variation operators linked to semigroups derived from Fourier-Bessel expansions, providing new insights into their behavior in $L^p$ spaces.

Contribution

It establishes $L^p$-boundedness properties for variation operators associated with Fourier-Bessel semigroups, a novel analysis in this mathematical area.

Findings

Proved $L^p$-boundedness of variation operators

Extended understanding of Fourier-Bessel semigroup behavior

Contributed to harmonic analysis literature

Abstract

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