Differential transforms of Cesàro averages in weighted spaces
Bernardis, A. L. (Consejo Nacional de Investigaciones Científicas y Técnicas - CONICET (Argentina). Instituto de Matemática Aplicada del Litoral)
Martín-Reyes, F. J. (Universidad de Málaga. Departamento de Análisis Matemático, Estadística e Investigación Operativa y Matemática Aplicada)

Date:	2008
Abstract:	In this paper we obtain convergence results for the series of differences of Cesàro averages along lacunary sequences in the setting of weighted Lp-spaces. These results give some information about how the Cesàro averages converge. The paper extends results of an earlier work by R. L. Jones and J. Rosenblatt. The operators considered are essentially convolution operators given by kernels more singular than the ones in the article by Jones and Rosenblatt.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Differential transforms ; Cesàro averages ; Weight
Published in:	Publicacions matemàtiques, V. 52 n. 1 (2008) p. 101-127, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/74466
DOI: 10.5565/PUBLMAT_52108_05

27 p, 241.2 KB

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