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Estimates for polynomial norms on Lp(μ) spaces

Published online by Cambridge University Press:  24 October 2008

I. Sarantopoulos
I. Sarantopoulos
Affiliation:
Department of Mathematics and Statistics, Brunel University, England and Department of Mathematics, National Technical University of Athens, Greece
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Abstract

If L is a symmetric m-linear form on a Banach space and L^ is the associated polynomial then

For special choices of Banach space this inequality can be improved. This has been done by Harris [5] in the case of the Lp(μ) spaces. In this paper we improve his estimates and disprove one of his conjectures.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 99 , Issue 2 , March 1986 , pp. 263 - 271
Copyright
Copyright © Cambridge Philosophical Society 1986

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References

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