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This article is cited in 1 scientific paper (total in 1 paper)
On a sufficient condition for integrability of the banach indicatrix of a smooth mapping
S. A. Gulevich
Abstract:
Sufficient conditions are given for the convergence of integrals of the form
$\int_{\mathbf R^k}(N(f,y))^p\,dy$, where $f\colon\mathbf R^n\to\mathbf R^k$ is a map with compact support with $k\leqslant n$ and $N(f,y)$ is the number of connected components of the level set $\{x:f(x)=y\}$.
Bibliography: 5 titles.
Received: 21.04.1982
Citation:
S. A. Gulevich, “On a sufficient condition for integrability of the banach indicatrix of a smooth mapping”, Izv. Akad. Nauk SSSR Ser. Mat., 47:5 (1983), 1114–1134; Math. USSR-Izv., 23:2 (1984), 391–408
Linking options:
https://www.mathnet.ru/eng/im1438https://doi.org/10.1070/IM1984v023n02ABEH001776 https://www.mathnet.ru/eng/im/v47/i5/p1114
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Abstract page: | 301 | Russian version PDF: | 85 | English version PDF: | 6 | References: | 40 | First page: | 1 |
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