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DOUBLE HILBERT TRANSFORMS ALONG POLYNOMIAL SURFACES IN R3

Published online by Cambridge University Press:  01 September 2008

SANJAY PATEL
SANJAY PATEL*
Affiliation:
Department of Mathematics, School of Sciences, Gujarat University, Navrangpura, Ahmedabad-380009, India e-mail: skpatel27@yahoo.com
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Abstract

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We obtain a necessary and sufficient condition on a polynomial P(s, t) so that the (global) double Hilbert transforms along polynomial surfaces (s, t, P(s, t)) in R3 are bounded on Lp for 1 < p < ∞.

Keywords

42B20
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 50 , Issue 3 , September 2008 , pp. 395 - 428
Copyright
Copyright © Glasgow Mathematical Journal Trust 2008

References

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