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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1978 Volume 106(148), Number 1(5), Pages 85–93 (Mi sm2555)

A generalized trace method in the interpolation theory of Banach spaces

G. A. Kalyabin


Abstract: The paper presents a generalization of the method of interpolating Banach spaces due to Lions. Arbitrary weight functions are considered in place of the power weights used by Lions. The interpolated spaces which arise are described.
Bibliography: 4 titles.

UDC: 513.881

MSC: 46E35

Received: 18.10.1976


 English version:
Mathematics of the USSR-Sbornik, 1978, 34:5, 645–653

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