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Algebra i Analiz, 2007, Volume 19, Issue 2, Pages 86–104 (Mi aa114)  
This article is cited in 3 scientific papers (total in 3 papers)

Research Papers

Derivatives of regular measures

E. Doubtsov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (202 kB) Citations (3)
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Abstract: Let $\mu$ be a positive singular measure on Euclidean space. If $\mu$ is sufficiently regular, then for any $a\in[0,+\infty]$ the set where the derivative of $\mu$ is equal to $a$ is large in the sense of the Hausdorff dimension.
Keywords: Regular singular measure, Hausdorff dimension, derivative.
Received: 31.08.2006
English version:
St. Petersburg Mathematical Journal, 2008, Volume 19, Issue 2, Pages 225–238
DOI: https://doi.org/10.1090/S1061-0022-08-00995-3
Bibliographic databases:
Document Type: Article
MSC: 28A15, 28A75, 28A78, 42B35
Language: Russian
Citation: E. Doubtsov, “Derivatives of regular measures”, Algebra i Analiz, 19:2 (2007), 86–104; St. Petersburg Math. J., 19:2 (2008), 225–238
Citation in format AMSBIB
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\by E.~Doubtsov
\paper Derivatives of regular measures
\jour Algebra i Analiz
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\issue 2
\pages 86--104
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\zmath{https://zbmath.org/?q=an:1172.28300}
\transl
\jour St. Petersburg Math. J.
\yr 2008
\vol 19
\issue 2
\pages 225--238
\crossref{https://doi.org/10.1090/S1061-0022-08-00995-3}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000267653200005}
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  • https://www.mathnet.ru/eng/aa/v19/i2/p86
    • This publication is cited in the following 3 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:393
    Full-text PDF :111
    References:53
    First page:4
     
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