On the convergence in L 1-norm of Cesàro means with respect to representative product systems

Autor:	Rodolfo Toledo, György Gát
Rok vydání:	2008
Předmět:	Product system Pure mathematics General Mathematics Norm (mathematics) Mathematical analysis Fourier series Mathematics
Zdroj:	Acta Mathematica Hungarica. 123:103-120
ISSN:	1588-2632 0236-5294
DOI:	10.1007/s10474-008-8065-y
Popis:	The aim of this paper is to prove that the Cesaro means of order α (0 < α < 1) of the Fourier series with respect to representative product systems converge to the function in L1-norm, only for certain values of α which depend on some parameter of the representative product system.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d3cd3c804c10760c4a6862bf76a12cb3 https://doi.org/10.1007/s10474-008-8065-y Zobrazit plný text záznamu Full text from SpringerLink