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Interpolation of Cesaro and Copson spaces
Department of Mathematics and Mechanics, Samara State University, Department of Mathematics, Samara State University.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2014 (English)In: Proceedings of the Fourth International Symposium on Banach and Function Spaces IV (ISBFS 2012): Kyushu Institute of Technology, Kitakyushu, Japan, 12-15 September 2012 / [ed] Mikio Kato; Lech Maligranda; Tomonari Suzuki, Yokohama: Yokohama Publishers, 2014, 123-133 p.Conference paper (Refereed)
Abstract [en]

Summary. Interpolation properties of Cesàro and Copson spaces are investigated. It is shown that the Cesàro function space Ces_p(I), where I = [0, 1] or [0, \infty), is an interpolation space between Ces_{p_0}(I) and Ces_{p_1}(I) for 1 < p_0 < p_1 \leq \infty and 1/p = (1 - \theta)/p_0 + \theta /p_1 with 0 < \theta < 1. The same result is true for Cesàro sequence spaces. For Copson function and sequence spaces a similar result holds even in the case when 1 \leq p_0 < p_1 \leq \infty. At the same time, $Ces_p[0, 1]$ is not an interpolation space between Ces_1[0, 1] and Ces_{\infty}[0, 1] for any 1

Place, publisher, year, edition, pages
Yokohama: Yokohama Publishers, 2014. 123-133 p.
Research subject
URN: urn:nbn:se:ltu:diva-30653Local ID: 48709ee2-145e-41aa-abfa-73ed27617262ISBN: 9784946552489OAI: diva2:1003882
International symposium on Banach and function spaces : 12/09/2012 - 15/09/2012
Godkänd; 2014; 20141125 (andbra)Available from: 2016-09-30 Created: 2016-09-30Bibliographically approved

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