2019
Том 71
№ 8

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Limits on the real line of symmetric spaces on segments

Kucher О. V., Plichko A. M.

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Abstract

In the same way as the known spacesM p ,M p , andI p are constructed on the basis of the spaceL p (−1, 1), we construct the corresponding “limit” spacesM E ,M E , andI E on the real line on the basis of a symmetric function spaceE on a segment and study some of their Banach properties.

English version (Springer): Ukrainian Mathematical Journal 47 (1995), no. 1, pp 50-62.

Citation Example: Kucher О. V., Plichko A. M. Limits on the real line of symmetric spaces on segments // Ukr. Mat. Zh. - 1995. - 47, № 1. - pp. 46–55.

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