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Matematicheskie Zametki, 1969, Volume 6, Issue 2, Pages 129–138
(Mi mzm6916)
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This article is cited in 7 scientific papers (total in 7 papers)
An embedding theorem for a limiting exponent
O. V. Besova, V. P. Il'inb a Steklov Mathematical Institute, Russian Academy of Sciences
b Leningrad Department of V. A. Steklov Institute of Mathematics, USSR Academy of Sciences
Abstract:
We consider the function space $B_{p,\theta}^l(\Omega)$ of functions $f(x)$, defined on the domain $\Omega$ of a certain class and characterized by specific differential-difference properties in $L_p(\Omega)$. We prove a theorem on the embedding $B_{p,q}^l\subset\Omega)$ in the case when $l=n/p-n/q>0$ and its generalization for vector $l$, $p$, $q$.
Received: 11.11.1968
Citation:
O. V. Besov, V. P. Il'in, “An embedding theorem for a limiting exponent”, Mat. Zametki, 6:2 (1969), 129–138; Math. Notes, 6:2 (1969), 537–542
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https://www.mathnet.ru/eng/mzm6916 https://www.mathnet.ru/eng/mzm/v6/i2/p129
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Abstract page: | 408 | Full-text PDF : | 143 | First page: | 1 |
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