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// Matematicheskie Zametki
// Archive
Mat. Zametki,
1998
Volume 64,
Issue 5,
Pages
749–762
(Mi mzm1451)
This article is cited in
5
papers
On a problem of Zygmund
A. M. Stokolos
Institute of Mathematics, Ecomonics and Mechanics, Odessa State University
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.
UDC:
517.5
Received:
23.06.1997
DOI:
10.4213/mzm1451
Fulltext:
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References
Cited by
English version:
Mathematical Notes, 1998,
64
:5,
646–657
Bibliographic databases:
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Steklov Math. Inst. of RAS
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