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Asymptotic properties of the vector Carleson embedding theorem
Authors:Michael Goldberg
Institution:Department of Mathematics, University of California, Berkeley, California 94720-3840
Abstract:

The dyadic Carleson embedding operator acting on $\mathbb{C}^n$-valued functions has norm at least $C\log n$. Thus the Carleson Embedding Theorem fails for Hilbert space valued functions.

Keywords:Carleson embedding theorem  vector valued functions  operator valued measures  weights
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