Summing Carleson measure on radial weighted Begman spaces

For $μ$ is a positive Borel measure on $\mathbb{D}$, The $r$ summing Carleson embdedding $J_μ: A_w^p\to L^q(μ)$ are characterized in this paper, some conditions which ensure that the Carleson embedding for $J_μ: A_w^p\to L^q(μ)$ is $r$ summing are obtained for all $0<p,q<\infty.$

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ArXiv.org
Published
2025-09-26
Primary Topic
Heat Transfer and Optimization
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article
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article

Summing Carleson measure on radial weighted Begman spaces

ArXiv.org
Heat Transfer and Optimization
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Summing Carleson measure on radial weighted Begman spaces

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Abstract

For $μ$ is a positive Borel measure on $\mathbb{D}$, The $r$ summing Carleson embdedding $J_μ: A_w^p\to L^q(μ)$ are characterized in this paper, some conditions which ensure that the Carleson embedding for $J_μ: A_w^p\to L^q(μ)$ is $r$ summing are obtained for all $0<p,q<\infty.$

ArXiv.org
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Heat Transfer and Optimization
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Summing Carleson measure on radial weighted Begman spaces · ArXiv.org (2025) | TGRS Research Map | TGRS