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VOL. 42 | 2007 On an operator-valued $T(1)$ theorem by Hytönen and Weis
Cornelia Kaiser

Editor(s) Alan McIntosh, Pierre Portal

Abstract

We consider generalized Calderón-Zygmund operators whose kernel takes values in the space of all continuous linear operators between two Banach spaces. In the spirit of the $T(1)$ theorem of David and Journé we prove boundedness results for such operators on vector-valued Riesz potential spaces. This improves and generalizes a result by Hytönen and Weis.

Information

Published: 1 January 2007
First available in Project Euclid: 18 November 2014

zbMATH: 1213.42044
MathSciNet: MR2328512

Rights: Copyright © 2007, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.

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