Measure of non-compactness and limiting interpolation with slowly varying functions

IF 1.1 2区数学 Q1 MATHEMATICS Banach Journal of Mathematical Analysis Pub Date : 2024-03-21 DOI:10.1007/s43037-024-00335-z

Fernando Cobos, Luz M. Fernández-Cabrera, Manvi Grover

引用次数: 0

Abstract

We give estimates for the measure of non-compactness of an operator interpolated by the limiting methods involving slowly varying functions. As applications we establish estimates for the measure of non-compactness of operators acting between Lorentz–Karamata spaces.

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慢变函数的非紧凑性测量和极限插值

我们给出了用涉及缓慢变化函数的极限方法插值的算子非紧凑性的估计值。作为应用，我们建立了作用于洛伦兹-卡拉马塔空间之间的算子的非紧凑性度量的估计。

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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来源期刊

Banach Journal of Mathematical Analysis 数学-数学

CiteScore

2.00

自引率

8.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Banach Journal of Mathematical Analysis (Banach J. Math. Anal.) is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Banach J. Math. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and operator theory and all modern related topics. Banach J. Math. Anal. normally publishes survey articles and original research papers numbering 15 pages or more in the journal’s style. Shorter papers may be submitted to the Annals of Functional Analysis or Advances in Operator Theory.

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