西格尔-巴格曼空间上的模获取复合算子

IF 1.3 3区数学 Q2 MATHEMATICS, APPLIED

Bulletin des Sciences Mathematiques Pub Date : 2025-05-19 DOI:10.1016/j.bulsci.2025.103657

Neeru Bala , Sudip Ranjan Bhuia

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引用次数: 0

摘要

本文研究了sgal - bargmann空间上的复合算子，得到了它的范数，并证明了Cn上经典Fock空间上的每一个有界复合算子都能得到范数。此外，我们还发现了两个核函数的和是复合算子范数的极值函数的一个必要条件。

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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Norm attaining composition operators on Segal-Bargmann spaces

In this note, we study the composition operators on Segal-Bargmann spaces, which attains its norm and we show that every bounded composition operators on the classical Fock space over

C^{n}

is norm attaining. Also, we find a necessary condition for a sum of two kernel functions to be an extremal function for the norm of composition operators.

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