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Zeitschrift für Analysis und ihre Anwendungen

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Volume 4, Issue 1, 1985, pp. 39–53
DOI: 10.4171/ZAA/136

Published online: 1985-02-28

Lorentz-Folgenräume mit logarithmischem Gewicht

Georg Baumbach

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 $$n^\alpha (\mathrm {log} \: n)^\beta \quad (\alpha, \beta \: \mathrm {real}, \alpha < 0).$$. 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.

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Baumbach Georg: Lorentz-Folgenräume mit logarithmischem Gewicht. Z. Anal. Anwend. 4 (1985), 39-53. doi: 10.4171/ZAA/136