一对全局Morrey空间的Calderón构造

IF 0.8 3区数学 Q2 MATHEMATICS

Izvestiya Mathematics Pub Date : 2021-01-01 DOI:10.1070/IM9049

E. Berezhnoi

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引用次数: 0

摘要

我们采用了一种新的方法，证明了只有在参数化原始Morrey空间的理想空间对的较强假设下，一对全局Morrey空间的Calderón构造才与具有适当参数的Morrey空间重合。我们证明，在全局Morrey空间的经典例子中，这些假设是充分必要的。应用一个著名的约简方法，我们利用Calderón构造了一对全局Morrey空间来描述复插值法给出的空间，并证明了全局Morrey空间的新的插值定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Calderón construction for a couple of global Morrey spaces

We employ a new approach to show that the Calderón construction for a couple of global Morrey spaces coincides with the Morrey space with appropriate parameters only under rather strong assumptions on the couples of ideal spaces that parameterize the original Morrey spaces. We show that, in the case of classical examples of global Morrey spaces, these assumptions are necessary and sufficient. Applying a well-known reduction, we use the Calderón construction for a couple of global Morrey spaces to describe the spaces given by the complex interpolation method and also to prove new interpolation theorems for global Morrey spaces.

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来源期刊

Izvestiya Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. This publication covers all fields of mathematics, but special attention is given to: Algebra; Mathematical logic; Number theory; Mathematical analysis; Geometry; Topology; Differential equations.