Estimation of the Entropy Numbersof Embedding between WeakLorentz-Schatten Spaces

本文在有限维的情形下给出了弱Lorentz-Schatten空间中自然嵌入映射的熵数的估计,这可以看成是弱Lorentz序列空间中关于自然嵌入映射熵数估计的一种推广。In this paper, in the finite-dimensional case, the estimation of the entropy numbers ofthe embedding between the weak Lorentz-Schatten spaces is presented, which can beregarded as a generalization of the estimation of the entropy numbers of the embeddingbetween the weak lorentz sequence spaces.

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Publication Details

Journal
Advances in Applied Mathematics
Published
2025-01-01
DOI
https://doi.org/10.12677/aam.2025.146329
Primary Topic
Mathematical Analysis and Transform Methods
Type
article
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article

Estimation of the Entropy Numbersof Embedding between WeakLorentz-Schatten Spaces

宁 马
Advances in Applied Mathematics
Mathematical Analysis and Transform Methods
article

Estimation of the Entropy Numbersof Embedding between WeakLorentz-Schatten Spaces

宁 马
article en

Abstract

本文在有限维的情形下给出了弱Lorentz-Schatten空间中自然嵌入映射的熵数的估计,这可以看成是弱Lorentz序列空间中关于自然嵌入映射熵数估计的一种推广。In this paper, in the finite-dimensional case, the estimation of the entropy numbers ofthe embedding between the weak Lorentz-Schatten spaces is presented, which can beregarded as a generalization of the estimation of the entropy numbers of the embeddingbetween the weak lorentz sequence spaces.

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Estimation of the Entropy Numbersof Embedding between WeakLorentz-Schatten Spaces — 宁 马 · Advances in Applied Mathematics (2025) | TGRS Research Map | TGRS