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arXiv:1702.03871 [math.FA]AbstractReferencesReviewsResources

Marcinkiewicz theorem for Lorentz gamma spaces

Vít Musil, Rastislav Oľhava

Published 2017-02-13Version 1

This paper is devoted to the interpolation principle between spaces of weak type. We characterize interpolation spaces between two Marcinkiewicz spaces in terms of Hardy type operators involving suprema. We study general properties of such operators and their behavior on Lorentz gamma spaces.

Comments: 17 pages
Categories: math.FA
Subjects: 46E30, 46B70
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