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Maximal averages along curves over the p-adic numbers

Published online by Cambridge University Press:  17 April 2009

Keith M. Rogers
Keith M. Rogers
Affiliation:
School of Mathematics, University of New South Wales, Sydney, NSW 2052, Australia e-mail: [email protected]
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Let ℚp denote the p-adic numbers. We consider curves in defined by p-adic polynomials of one p-adic variable. We show that maximal averages along these curves are bounded, where 1 < q < ∞.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 70 , Issue 3 , December 2004 , pp. 357 - 375
Copyright
Copyright © Australian Mathematical Society 2004

References

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