FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 4, PAGES 1225-1249

On necessary and sufficient conditions of embedding of Nikol'skii classes from Lorentz spaces

A. I. Aganin

Abstract

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This article deals with embedding Nikol'skii classes from Lorentz spaces into Lorentz spaces and each in other. Author has obtained necessary and sufficient conditions for these embeddings with certain restrictions on fundamental functions of Lorentz spaces.

All articles are published in Russian.

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Last modified: January 25, 1999