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Rademacher functions in Cesaro type spaces
LuleƄ University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2010 (English)In: Studia Mathematica, ISSN 0039-3223, E-ISSN 1730-6337, Vol. 198, no 3, 235-247 p.Article in journal (Refereed) Published
Abstract [en]

The Rademacher sums are investigated in the Cesaro spaces Ces(p) (1 <= p <= infinity) and in the weighted Korenblyum-Krein-Levin spaces K-p,K-w on [0,1]. They span l(2) space in Ces(p) for any 1 <= p < infinity and in K-p,K-w if and only if the weight w is larger than t log(2)(p/2)(2/t) on (0,1). Moreover, the span of the Rademachers is not complemented in Ces(p) for any 1 <= p < infinity or in K-1,K-w for any quasi-concave weight w. In the case when p > 1 and when w is such that the span of the Rademacher functions is isomorphic to l(2), this span is a complemented subspace in K-p,K-w.

Place, publisher, year, edition, pages
2010. Vol. 198, no 3, 235-247 p.
Research subject
URN: urn:nbn:se:ltu:diva-4680DOI: 10.4064/sm198-3-3Local ID: 2a935230-821b-11df-ab16-000ea68e967bOAI: diva2:977554
Validerad; 2010; 20100627 (ysko)Available from: 2016-09-29 Created: 2016-09-29Bibliographically approved

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