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Izv. Akad. Nauk SSSR Ser. Mat., 1977, Volume 41, Issue 2, Pages 334–351 (Mi izv1805)  

This article is cited in 277 scientific papers (total in 278 papers)

Diameters of some finite-dimensional sets and classes of smooth functions

B. S. Kashin


Abstract: Estimates of the diameters of certain sets in the Banach spaces $L^q(0,1)$ and $l_q^n$ are given; in particular, the orders of the diameters $d_n(W_p^r,L^q)$, $p<q$, $r>1$, are completely determined.
Bibliography: 18 titles.

Full text: PDF file (1189 kB)
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English version:
Mathematics of the USSR-Izvestiya, 1977, 11:2, 317–333

Bibliographic databases:

UDC: 517.5
MSC: Primary 52A05, 46E30; Secondary 46E15, 52A45, 52A40
Received: 27.02.1976

Citation: B. S. Kashin, “Diameters of some finite-dimensional sets and classes of smooth functions”, Izv. Akad. Nauk SSSR Ser. Mat., 41:2 (1977), 334–351; Math. USSR-Izv., 11:2 (1977), 317–333

Citation in format AMSBIB
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\by B.~S.~Kashin
\paper Diameters of some finite-dimensional sets and classes of smooth functions
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1977
\vol 41
\issue 2
\pages 334--351
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\transl
\jour Math. USSR-Izv.
\yr 1977
\vol 11
\issue 2
\pages 317--333
\crossref{https://doi.org/10.1070/IM1977v011n02ABEH001719}
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    This publication is cited in the following articles:
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