Interpolation spaces between(L_1^{W_0 } ,L_1^{W_1 } ) and (L1, L∞) |
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| Authors: | V. I. Dmitriev |
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| Affiliation: | 1. Voronezh Wood Technology Institute, USSR
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| Abstract: | Let A0, A1 be a pair of normed spaces, having the property that the difference K(x, t; A0, A1) ?K(x, s; A0, A1) regarded as a function of xε A0+ A1 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 A0 into L1 and from A1 into L∞, then it is bounded from A into L, are characterized in the following article. |
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