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Mathematics of the USSR-Sbornik, 1983, Volume 45, Issue 1, Pages 101–119
DOI: https://doi.org/10.1070/SM1983v045n01ABEH002589
(Mi sm2184)
 

This article is cited in 9 scientific papers (total in 9 papers)

On differentiability of functions in $L^p$, $0<p<1$

V. G. Krotov
References:
Abstract: In this paper the author studies the connection between smoothness, expressed in terms of the integral modulus of continuity, and the existence of a derivative, understood in some sense, for functions in $L^p$, $0<p<1$; an analogous question is considered for boundary values of analytic functions in the Hardy classes $H^p$, $0<p<1$. A connection is established between the derivatives of an analytic function in $H^p$ and the derivatives of its boundary value; both global and pointwise derivatives are considered.
Bibliography: 25 titles.
Received: 25.02.1981
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1982, Volume 117(159), Number 1, Pages 95–113
Bibliographic databases:
UDC: 517.5
MSC: Primary 26A24, 46E30; Secondary 26A15, 26A16, 26A27, 30D55
Language: English
Original paper language: Russian
Citation: V. G. Krotov, “On differentiability of functions in $L^p$, $0<p<1$”, Mat. Sb. (N.S.), 117(159):1 (1982), 95–113; Math. USSR-Sb., 45:1 (1983), 101–119
Citation in format AMSBIB
\Bibitem{Kro82}
\by V.~G.~Krotov
\paper On differentiability of functions in $L^p$, $0<p<1$
\jour Mat. Sb. (N.S.)
\yr 1982
\vol 117(159)
\issue 1
\pages 95--113
\mathnet{http://mi.mathnet.ru/sm2184}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=642492}
\zmath{https://zbmath.org/?q=an:0601.42020}
\transl
\jour Math. USSR-Sb.
\yr 1983
\vol 45
\issue 1
\pages 101--119
\crossref{https://doi.org/10.1070/SM1983v045n01ABEH002589}
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  • https://doi.org/10.1070/SM1983v045n01ABEH002589
  • https://www.mathnet.ru/eng/sm/v159/i1/p95
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:481
    Russian version PDF:151
    English version PDF:16
    References:39
     
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