Vol. 90, No. 2, 1980

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On interpolation of Lp[a, b] and weighted Sobolev spaces

Zeev Ditzian

Vol. 90 (1980), No. 2, 307–323
Abstract

The goal of this paper is to characterize the interpolation spaces between Lp[a,b] or C[a,b] and the space of functions for which W(x)f(r)(x) belongs to Lp[a,b] or C[a,b]. In order to achieve this, for a class of weights W(x) the Peetre K functional is characterized.

Mathematical Subject Classification 2000
Primary: 46E35
Secondary: 46M35
Milestones
Received: 8 June 1979
Revised: 30 November 1979
Published: 1 October 1980
Authors
Zeev Ditzian