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Algebra i Analiz, 2009, Volume 21, Issue 6, Pages 182–201 (Mi aa1166)  

This article is cited in 6 scientific papers (total in 6 papers)

Research Papers

Blaschke products and nonideal ideals in higher order Lipschitz algebras

K. M. Dyakonov

ICREA and Universitat de Barcelona, Departament de Matemàtica, Aplicada i Anàlisi, Barcelona, Spain
Full-text PDF (296 kB) Citations (6)
References:
Abstract: We investigate certain ideals (associated with Blaschke products) of the analytic Lipschitz algebra $A^\alpha$, with $\alpha>1$, that fail to be “ideal spaces”. The latter means that the ideals in question are not describable by any size condition on the function's modulus. In the case where $\alpha=n$ is an integer, we study this phenomenon for the algebra $H^\infty_n=\{f\colon f^{(n)}\in H^\infty\}$ rather than for its more manageable Zygmund-type version. This part is based on a new theorem concerning the canonical factorization in $H^\infty_n$.
Keywords: inner functions, Blaschke products, Lipschitz spaces, ideals.
Received: 14.01.2009
English version:
St. Petersburg Mathematical Journal, 2010, Volume 21, Issue 6, Pages 979–993
DOI: https://doi.org/10.1090/S1061-0022-2010-01127-0
Bibliographic databases:
Document Type: Article
Language: English
Citation: K. M. Dyakonov, “Blaschke products and nonideal ideals in higher order Lipschitz algebras”, Algebra i Analiz, 21:6 (2009), 182–201; St. Petersburg Math. J., 21:6 (2010), 979–993
Citation in format AMSBIB
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\paper Blaschke products and nonideal ideals in higher order Lipschitz algebras
\jour Algebra i Analiz
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  • https://www.mathnet.ru/eng/aa/v21/i6/p182
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:494
    Full-text PDF :143
    References:56
    First page:8
     
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