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
Any de publicació: 1993
Volum: 173
Número: 2
Pàgines: 370-389
Tipus: Article
Altres publicacions en: Journal of Mathematical Analysis and Applications
Resum
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.