Bergmann空间上的广义Hausdorff算子

IF 0.3 Q4 MATHEMATICS
Sasikala Perumal, Kalaivani Kamalakkannan
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引用次数: 0

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。
Generalized Hausdorff operator on Bergmann spaces
Abstract In this article, we considered the generalized Hausdorff operator 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 μ , ϕ , a {{\mathcal{ {\mathcal H} }}}_{\mu ,\phi ,a} and established a relation with quasi-Hausdorff operator on Bergmann space.
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来源期刊
Concrete Operators
Concrete Operators MATHEMATICS-
CiteScore
1.00
自引率
16.70%
发文量
10
审稿时长
22 weeks
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