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Matematicheskie Zametki, 1998, Volume 64, Issue 5, Pages 749–762
DOI: https://doi.org/10.4213/mzm1451 (Mi mzm1451) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On a problem of Zygmund

A. M. Stokolos

Institute of Mathematics, Ecomonics and Mechanics, Odessa State University
Full-text PDF (2833 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm1451
Abstract: It is proved that there exists an integrable function on $[0,1]^2$ whose integral is nondifferentiable in each direction belonging to a set everywhere dense in $[0,2\pi]$ but is strongly differentiable.
Received: 23.06.1997
English version:
Mathematical Notes, 1998, Volume 64, Issue 5, Pages 646–657
DOI: https://doi.org/10.1007/BF02316290
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: A. M. Stokolos, “On a problem of Zygmund”, Mat. Zametki, 64:5 (1998), 749–762; Math. Notes, 64:5 (1998), 646–657
Citation in format AMSBIB
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\paper On a problem of Zygmund
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\transl
\jour Math. Notes
\yr 1998
\vol 64
\issue 5
\pages 646--657
\crossref{https://doi.org/10.1007/BF02316290}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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