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Mathematics of the USSR-Sbornik, 1973, Volume 19, Issue 4, Pages 547–580
DOI: https://doi.org/10.1070/SM1973v019n04ABEH001808 (Mi sm3067) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Use of $(p,l)$-capacity in problems of the theory of exceptional sets

V. G. Maz'ya, V. P. Havin
English version PDF (1886 kB) Citations (12) Russian version article
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DOI: https://doi.org/10.1070/SM1973v019n04ABEH001808
Abstract: We consider exceptional sets occurring in the solution of problems of uniqueness and approximation of analytic functions, as well as in problems of convergence of Fourier series and of removal of singularities of analytic and polyharmonic functions. In the formulation of the theorems the smallness of exceptional sets is characterized by a special set function, the so-called $(p,l)$-capacity.
Bibliography: 36 titles.
Received: 16.06.1972
Bibliographic databases:
UDC: 519.56
MSC: Primary 31B15; Secondary 30A82, 30A72, 42A20, 30A14
Language: English
Original paper language: Russian
Citation: V. G. Maz'ya, V. P. Havin, “Use of $(p,l)$-capacity in problems of the theory of exceptional sets”, Math. USSR-Sb., 19:4 (1973), 547–580
Citation in format AMSBIB
\Bibitem{MazHav73}
\by V.~G.~Maz'ya, V.~P.~Havin
\paper Use of $(p,l)$-capacity in problems of the theory of exceptional sets
\jour Math. USSR-Sb.
\yr 1973
\vol 19
\issue 4
\pages 547--580
\mathnet{http://mi.mathnet.ru//eng/sm3067}
\crossref{https://doi.org/10.1070/SM1973v019n04ABEH001808}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=367207}
\zmath{https://zbmath.org/?q=an:0259.31007}
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  • https://www.mathnet.ru/eng/sm/v132/i4/p558
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:539
    Russian version PDF:186
    English version PDF:14
    References:63
    First page:2
     
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