The Fundamental Function of Spaces Generated by Interpolation Methods Associated to Polygons

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• 作者：Luz M. Fernández-Cabrera
• 关键词：Rearrangement ; invariant function spaces ; fundamental function ; interpolation methods associated to polygons ; interpolation of N ; tuples of Banach spaces
• 刊名：Mediterranean Journal of Mathematics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：14
• 期：1
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1660-5454
• 卷排序：14

文摘

We consider the K- and J-spaces generated from an N-tuple of rearrangement-invariant function spaces by using the interpolation methods associated to polygons. We compute their fundamental functions and we characterize their associate spaces. Furthermore, an application is given to interpolation of N-tuples of Marcinkiewicz spaces.