Asymptotic properties of the vector Carleson embedding theorem
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- by Michael Goldberg PDF
- Proc. Amer. Math. Soc. 130 (2002), 529-531 Request permission
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.References
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Additional Information
- Michael Goldberg
- Affiliation: Department of Mathematics, University of California, Berkeley, California 94720-3840
- MR Author ID: 674280
- ORCID: 0000-0003-1039-6865
- Email: mikeg@math.berkeley.edu
- Received by editor(s): July 5, 2000
- Published electronically: June 6, 2001
- Communicated by: Christopher D. Sogge
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 529-531
- MSC (2000): Primary 42B20, 42A50
- DOI: https://doi.org/10.1090/S0002-9939-01-06109-3
- MathSciNet review: 1862133