The Bochner-Riesz means for Fourier-Bessel expansions: Norm inequalities for the maximal operator and almost everywhere convergence

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• 作者：Ó ; scar Ciaurri ; ^{oscar.ciaurri@unirioja.es} ; Luz Roncal ^{luz.roncal@unirioja.es}
• 关键词：Fourier&ndash ; Bessel expansions ; Bochner&ndash ; Riesz means ; Almost everywhere convergence ; Maximal operators ; Weighted inequalities
• 刊名：Journal of Approximation Theory
• 出版年：2013
• 出版时间：March, 2013
• 年：2013
• 卷：167
• 期：Complete
• 页码：121-146
• 全文大小：307 K

文摘

In this paper, we develop a thorough analysis of the boundedness properties of the maximal operator for the Bochner-Riesz means related to the Fourier-Bessel expansions. For this operator, we study weighted and unweighted inequalities in the spaces . Moreover, weak and restricted weak type inequalities are obtained for the critical values of?. As a consequence, we deduce the almost everywhere pointwise convergence of these means.