Mean and weak convergence of Fourier-Bessel series
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1
Universidad de La Rioja
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2
Universidad de Zaragoza
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ISSN: 0022-247X
Year of publication: 1993
Volume: 173
Issue: 2
Pages: 370-389
Type: Article
More publications in: Journal of Mathematical Analysis and Applications
Abstract
We study the uniform boundedness on some weighted L p spaces of the partial sum operators associated to Fourier-Bessel series, obtaining necessary and sufficient conditions for this boundedness in terms of the weights. On the other hand, we study the weak and restricted weak type of the partial sum operators in the end points of the interval of strong boundedness. © 1993 Academic Press. All rights reserved.