基于Calderón建筑的大小空间

IF 1.6 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2025-06-27 DOI:10.1007/s13324-025-01097-z

Evgenii I. Berezhnoi

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引用次数: 0

摘要

在Calderón构造的基础上，提出了两种定义大空间和小空间的一般方法，并证明了这些空间的一些基本性质。特别地，我们对一般的大空间和小空间给出了关联空间的完整描述。我们的描述使我们能够对b[25]中提出的问题给出确切的答案。我们给出了在有限测度和无限测度集合上构造空间的一些例子。

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Grand and small spaces based on the Calderón’s construction

We propose two general methods for defining grand and small spaces based on Calderón’s construction and prove some fundamental properties of these spaces. In particular, we give a complete description of associative spaces to general grand and small spaces. Our description allows us to give an exact answer to the question posed in [25]. We give some examples illustrating our constructions for spaces constructed on sets of finite and infinite measure.

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来源期刊

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.