A Remark on Interpolation with Generalized Parameters

Joachim Puhl

doi:10.4171/zaa/627

JournalszaaVol. 11, No. 1pp. 43–55

A Remark on Interpolation with Generalized Parameters

Joachim Puhl
Friedrich-Schiller-University, Jena, Germany

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Abstract

We study a generalized form of the Lions-Peetre interpolation spaces $(A_{0}, A_{1})_{θq}$ , where the parameter $θ$ and $q$ are substituted in a natural way by suitable sequences $u$ and lattices $a$ , respectively. A reiteration theorem is proved and applications to generalized Lorentz spaces are given.

Cite this article

Joachim Puhl, A Remark on Interpolation with Generalized Parameters. Z. Anal. Anwend. 11 (1992), no. 1, pp. 43–55

DOI 10.4171/ZAA/627