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Some weighted estimates for imaginary powers of Laplace operators

Published online by Cambridge University Press:  17 April 2009

Hendra Gunawan
Hendra Gunawan
Affiliation:
Department of Mathematics, Bandung Institute of Technology, Bandung 40132, Indonesia e-mail: hgunawan@dns.math.itb.ac.id
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Abstract

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We study the boundedness of singular integral operators that are imaginary powers of the Laplace operator in Rn, especially from weighted Hardy spaces to weighted Lebesgue spaces where 0 < p ≤ 1. In particular, we prove some estimates for these operators when 0 < p ≤ 1 and w is in the Muckenhoupt's class Aq, for some q > 1.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 65 , Issue 1 , February 2002 , pp. 129 - 135
Copyright
Copyright © Australian Mathematical Society 2002

References

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