Bergmann空间上的广义Hausdorff算子

IF 0.3 Q4 MATHEMATICS Concrete Operators Pub Date : 2023-01-01 DOI:10.1515/conop-2023-0101

Sasikala Perumal, Kalaivani Kamalakkannan

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摘要

摘要本文考虑上广义Hausdorff算子h μ， φ，a {{\mathcal{ {\mathcal H} }}} ＿ {\mu, \phi,a，并确定了算子在φ }\phi和a a上的有界条件。此外，我们研究了Hausdorff算子在截断域上估计模态h μ， φ，a {{\mathcal{ {\mathcal H} }}} ＿ {\mu, \phi,a的作用，}并在Bergmann空间上建立了与拟Hausdorff算子的关系。

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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Generalized Hausdorff operator on Bergmann spaces

Abstract In this article, we considered the generalized Hausdorff operator ℋ μ , ϕ , a {{\mathcal{ {\mathcal H} }}}_{\mu ,\phi ,a} on Bergmann space and determined the conditions on ϕ \phi and a a so that the operator is bounded. In addition, we studied the action of the Hausdorff operator on the truncated domain to estimate norm ℋ μ , ϕ , a {{\mathcal{ {\mathcal H} }}}_{\mu ,\phi ,a} and established a relation with quasi-Hausdorff operator on Bergmann space.

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