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H∞ functional calculus of elliptic operators with C∞ coefficients on Lp spaces of smooth domains

Part of: General theory of linear operators

Published online by Cambridge University Press:  09 April 2009

Xuan Thinh Duong
Xuan Thinh Duong
Affiliation:
School of Mathematics, Physics, Computing and ElectronicsMacquarie UniversityNSW, 2109, Australia
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Abstract

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The purpose of this paper is to show that higher order elliptic partial differential operators on smooth domains have an H∞ functional calculus and satisfy quadratic estimates in Lp spaces on these domains.

MSC classification

Secondary: 47A60: Functional calculus
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 48 , Issue 1 , February 1990 , pp. 113 - 123
Copyright
Copyright © Australian Mathematical Society 1990

References

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