Additive invariants on the Hardy space over the polydisc

Xiang Fang

研究成果: 雜誌貢獻期刊論文同行評審

7 引文 斯高帕斯(Scopus)

摘要

In recent years various advances have been made with respect to the Nevanlinna-Pick kernels, especially on the symmetric Fock space, while the development on the Hardy space over the polydisc is relatively slow. In this paper, several results known on the symmetric Fock space are proved for the Hardy space over the polydisc. The known proofs on the symmetric Fock space make essential use of the Nevanlinna-Pick properties. Specifically, we study several integer-valued numerical invariants which are defined on an arbitrary invariant subspace of the vector-valued Hardy spaces over the polydisc. These invariants include the Samuel multiplicity, curvature, fiber dimension, and a few others. A tool used to overcome the difficulty associated with non-Nevanlinna-Pick kernels is Tauberian theory.

原文???core.languages.en_GB???
頁(從 - 到)359-372
頁數14
期刊Journal of Functional Analysis
253
發行號1
DOIs
出版狀態已出版 - 1 12月 2007

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