可变指数勒贝格空间上的合成算子

IF 0.6 3区数学 Q3 MATHEMATICS

Analysis Mathematica Pub Date : 2024-04-30 DOI:10.1007/s10476-024-00015-y

D. S. Bajaj, G. Datt

引用次数: 0

摘要

我们研究了可变指数莱比斯格空间之间的组成算子，并描述了可变指数莱比斯格空间上组成算子的有界性和紧凑性。我们还推导出了组成算子具有封闭范围的充分条件，并解释了这些算子与 Lebesgue 空间算子共有的一些性质。

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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Composition operators on variable exponent Lebesgue spaces

We study composition operators between variable exponent Lebesgue spaces and characterize boundedness and compactness of the composition operators on a variable exponent Lebesgue space. We also derive a sufficient condition for composition operator to have a closed range and explain some properties which these operators share with the case of Lebesgue spaces.

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来源期刊

Analysis Mathematica MATHEMATICS-

CiteScore

1.00

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Traditionally the emphasis of Analysis Mathematica is classical analysis, including real functions (MSC 2010: 26xx), measure and integration (28xx), functions of a complex variable (30xx), special functions (33xx), sequences, series, summability (40xx), approximations and expansions (41xx). The scope also includes potential theory (31xx), several complex variables and analytic spaces (32xx), harmonic analysis on Euclidean spaces (42xx), abstract harmonic analysis (43xx). The journal willingly considers papers in difference and functional equations (39xx), functional analysis (46xx), operator theory (47xx), analysis on topological groups and metric spaces, matrix analysis, discrete versions of topics in analysis, convex and geometric analysis and the interplay between geometry and analysis.