Some real interpolation methods for families of Banach spaces: A comparison

[摘要] We consider certain real interpolation methods for families of Banach spaces. We also define some new such methods obtained by passing to the limit in the constructions of Sparr and Cobos-Peetre. The relations between all these methods are studied. Characterizations of minimal and maximal spaces are obtained. Some concrete examples as wt-ii as sharp estimates of the corresponding operator norms are also exhibited. (C) 1997 Academic Press.

[发布日期] 1997-04-01