Rearrangements of the Haar system which preserve $\BMO$

Details Rearrangements of the Haar system which preserve $\BMO$ Rearrangements of the Haar system which preserve $\BMO$

1996-01-30

arxiv.org/abs/math/9601205v1

Mathematics

Functional Analysis

Scientific paper

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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