超齐次核有界算子的最佳匹配参数及范数计算

IF 1 4区数学 Q3 MATHEMATICS, APPLIED Journal of Applied Analysis and Computation Pub Date : 2023-01-01 DOI:10.11948/20230165

Qian Zhao, Yong Hong, Bing He

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引用次数: 0

摘要

引入了超齐次函数的概念，讨论了具有超齐次核的有界算子参数最优匹配的充要条件，得到了加权勒贝格函数空间与加权赋范序列空间互映射算子的范数公式，并给出了一些特殊情况。

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THE BEST MATCHING PARAMETERS AND NORM CALCULATION OF BOUNDED OPERATORS WITH SUPER-HOMOGENEOUS KERNEL

The concept of super-homogeneous function is introduced, sufficient and necessary condition for best matching parameters of bounded operator with super-homogeneous kernel is discussed, the norm formula for mutual mapping operators between weighted Lebesgue function space and weighted normed sequence space is obtained, and some special cases are given.

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来源期刊

Journal of Applied Analysis and Computation MATHEMATICS, APPLIED-

CiteScore

2.30

自引率

9.10%

发文量

期刊介绍： The Journal of Applied Analysis and Computation (JAAC) is aimed to publish original research papers and survey articles on the theory, scientific computation and application of nonlinear analysis, differential equations and dynamical systems including interdisciplinary research topics on dynamics of mathematical models arising from major areas of science and engineering. The journal is published quarterly in February, April, June, August, October and December by Shanghai Normal University and Wilmington Scientific Publisher, and issued by Shanghai Normal University.