Change search

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.
Mathematics
##### Identifiers
Local ID: 48709ee2-145e-41aa-abfa-73ed27617262ISBN: 9784946552489OAI: oai:DiVA.org:ltu-30653DiVA: diva2:1003882
##### Conference
International symposium on Banach and function spaces : 12/09/2012 - 15/09/2012
##### Note
Godkänd; 2014; 20141125 (andbra)Available from: 2016-09-30 Created: 2016-09-30Bibliographically approved

#### Open Access in DiVA

##### File information
File name FULLTEXT01.pdfFile size 434 kBChecksum SHA-512
Type fulltextMimetype application/pdf
##### File information
File name FULLTEXT02.pdfFile size 118 kBChecksum SHA-512
Type fulltextMimetype application/pdf

#### Search in DiVA

Maligranda, Lech
##### By organisation
Mathematical Science

#### Search outside of DiVA

The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available