Commutators and analytic dependence of Fourier-Bessel series on (0;1)
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1
Universidad de La Rioja
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2
Universidad de Zaragoza
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ISSN: 0008-4395
Year of publication: 1999
Volume: 42
Issue: 2
Pages: 198-208
Type: Article
More publications in: Canadian Mathematical Bulletin
Abstract
In this paper we study the boundedness of the commutators [b, Sn] where b is a BMO function and Sn denotes the n-th partial sum of the Fourier-Bessel series on (0, ∞). Perturbing the measure by exp(2b) we obtain that certain operators related to Sn depend analytically on the functional parameter b.