Rearrangements of the Haar system which preserve \BMO

1996/01/30 by Paul F. X. Müller, Müller, Paul F. X.
Mathematics · #46B #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46B

paper · pdf · doi:10.48550/arxiv.math/9601205

arxiv created 1996/01/30 · arxiv updated 2009/11/30

Abstract

In this paper general rearrangements of the Haar system in BMO are considered. Several, necessary and suficient, conditions for the boundednes of the induced permutation operator are given. Using analytic families of operators extensions to the case of L^p are obtained .

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