Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Asymptotic properties of the vector Carleson embedding theorem

Author: Michael Goldberg
Journal: Proc. Amer. Math. Soc. 130 (2002), 529-531
MSC (2000): Primary 42B20, 42A50
Published electronically: June 6, 2001
MathSciNet review: 1862133
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Abstract | References | Similar Articles | Additional Information


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.

References [Enhancements On Off] (What's this?)

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Additional Information

Michael Goldberg
Affiliation: Department of Mathematics, University of California, Berkeley, California 94720-3840

Keywords: Carleson embedding theorem, vector valued functions, operator valued measures, weights
Received by editor(s): July 5, 2000
Published electronically: June 6, 2001
Communicated by: Christopher D. Sogge
Article copyright: © Copyright 2001 American Mathematical Society