Lorentz-Folgenräume mit logarithmischem Gewicht

Georg Baumbach

doi:10.4171/zaa/136

JournalszaaVol. 4, No. 1pp. 39–53

Lorentz-Folgenräume mit logarithmischem Gewicht

Georg Baumbach
Friedrich-Schiller-Universität Jena, Germany

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Abstract

The paper deals with sequence spaces of Lorentz type equipped with a "logarithmic" weight. They may be used for the investigation of sequences behaving asymptotically like

n^{α} (log n)^{β} (α, β real, α < 0) .

. The main result is one about real interpolation. Besides, important properties of these spaces corresponding to those of Lorentz sequence spaces are summarised. A prospect of similar function spaces is given.

Cite this article

Georg Baumbach, Lorentz-Folgenräume mit logarithmischem Gewicht. Z. Anal. Anwend. 4 (1985), no. 1, pp. 39–53

DOI 10.4171/ZAA/136