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This article is cited in 2 scientific papers (total in 2 papers)
Interpolation spaces between $(L_1^{w_0},L_1^{w_1})$ and $(L_1,L_\infty)$
V. I. Dmitriev
Abstract:
Let $A_0,A_1$ be a pair of normed spaces, having the property that the difference $K(x,t;A_0,A_1)-K(x,s;A_0,A_1)$ regarded as a function of $x\in A_0+A_1$ is a seminorm for $t>s$ (here $K$ is the Oklander–Peetre functional). All the pairs $A,L$ of normed spaces, such that, if a linear operator is bounded from $A_0$ into $L_1$ and from $A_1$ into $L_\infty$, then it is bounded from $A$ into $L$, are characterized in the following article.
Received: 19.07.1973
Citation:
V. I. Dmitriev, “Interpolation spaces between $(L_1^{w_0},L_1^{w_1})$ and $(L_1,L_\infty)$”, Mat. Zametki, 17:5 (1975), 727–736; Math. Notes, 17:5 (1975), 433–438
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https://www.mathnet.ru/eng/mzm7592 https://www.mathnet.ru/eng/mzm/v17/i5/p727
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Abstract page: | 211 | Full-text PDF : | 91 | First page: | 1 |
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