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VOL. 40 | 2002 Lectures on the Kato square root problem


This is the text of a series of three lectures on the recent solution of the square root problem for divergence form elliptic operators, a long-standing conjecture posed by Kato in the early 60’s. In this text, the motivations for this problem and its setting are given. The ideas from harmonic analysis on the T(1) theorem and T(b) theorem for square functions are described. In particular, an apparently new formulation of a local T(b) theorem for square functions is stated. The ideas of the full proof are presented.


Published: 1 January 2002
First available in Project Euclid: 18 November 2014

zbMATH: 1290.35062
MathSciNet: MR1953477

Rights: Copyright © 2002, 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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