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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
\yr 2007
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\issue 2
\pages 86--104
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2333898}
\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}
Linking options:
  • https://www.mathnet.ru/eng/aa114
  • https://www.mathnet.ru/eng/aa/v19/i2/p86
    • This publication is cited in the following 3 articles:
    1. A. A. Logunov, “On the boundary behavior of positive solutions of elliptic differential equations”, St. Petersburg Math. J., 27:1 (2016), 87–102  mathnet  crossref  mathscinet  isi  elib
    2. E. S. Dubtsov, “Radial limits of positive solutions to the Darboux equation”, J. Math. Sci. (N. Y.), 156:5 (2009), 813–818  mathnet  crossref  zmath
    3. E. Doubtsov, “Radial behavior of positive harmonic Bloch functions”, J. Math. Sci. (N. Y.), 148:6 (2008), 841–845  mathnet  crossref  mathscinet
    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:408
    Full-text PDF :118
    References:58
    First page:4
     
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