Abstract
This survey article (also containing a few new results) is devoted to a consideration of various properties of some well known classes of operators, such as decomposable operators, generalized scalar operators, well-bounded operators and AC-operators, for example, when attention is restricted to the particular (but important) setting of Fourier $p$-multiplier operators on the real line group. The aim is to highlight some relevant phenomena and to pose several natural questions which occur in this setting.
Information
Published: 1 January 1999
First available in Project Euclid: 18 November 2014
zbMATH: 1193.42063
Rights: Copyright © 1999, 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.
