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Commutators and Analytic Dependence of Fourier-Bessel Series on (0, ∞)
Published online by Cambridge University Press: 20 November 2018
Abstract
In this paper we study the boundedness of the commutators $[b,\,{{S}_{n}}]$ where
$b$ is a
$\text{BMO}$ function and
${{S}_{n}}$ denotes the
$n$-th partial sum of the Fourier-Bessel series on
$(0,\,\infty )$. Perturbing the measure by
$\text{exp(}2\text{b)}$ we obtain that certain operators related to
${{S}_{n}}$ depend analytically on the functional parameter
$b$.
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- Copyright © Canadian Mathematical Society 1999