This article is cited in 4 papers

Interpolation properties of scales of Banach spaces

Yu. N. Bykov^a, V. I. Ovchinnikov<sup>b

a</sup> Kursk State University
^b Voronezh State University

Abstract: It is shown that any interpolation scales joining weight spaces $L_p$ or similar spaces have many remarkable properties. Not only are such scales intrinsically interpolation scales, but an analog of the Arazy–Cwikel theorem describing interpolation spaces between the spaces from the scale is valid.

UDC: 517.982

Received: 27.07.2005
Revised: 25.01.2006

DOI: 10.4213/mzm3358

 English version: Mathematical Notes, 2006, 80:6, 761–769

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