Miniconference on Operators in Analysis
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Price: AUD $33.00
Volume: 24
Venue: Macquarie University

Preface

This volume contains the proceedings of a three day miniconference on operator theory, partial differential equations, and related areas of analysis, held at Macquarie University, Sydney in September 1989, under the sponsorship of the Centre for Mathematical Analysis (Australian National University) whose financial assistance is gratefully acknowledged.

We wish to express our appreciation to all the participants, to those who contributed to this volume, to those who so willingly assisted us with the organization, and to those who typed the manuscripts for this volume.  We especially thank Marilyn Gray and Dorothy Nash whose superb organizational skills helped to make this conference a success.

Content

Chapter Page
1 Schauder Estimates on Lie Groups
Robert J Burns, Derek W Robinson		 1
2 A Note on Martingales with respect to Complex Measures
MG Cowling, GI Gawdry and T Qian		 10
3 Surface Measures - Maximal Functions and Fourier Transforms
Michael Cowling and Giancario Mauceri		 28
4 Measures of Semi-Noncompactness and AM Mapping
Sun Daqing		 38
5 A General Markus Inequality
Peter G Dodds, Theresa KY Dodds, Ben de Pagter		 47
6 Remarks on Non-Commutative Interpolation
Peter G Dodds, Theresa KY Dodds, Ben de Pagter		 58
7 Solvability of Differential Operators on Semiradial Semidirect Products
AH Dooley		 79
8 H∞ functional calculus of second order elliptic partial differential operators on LP spaces
Xuan Thinh Duong		 91
9 An Example in the Theory of Spectral and Well-Bounded Operators
Ian Doust		 83
10 An extension of a theorem of Halmos to Orlicz spaces, and an application to Nemitsky operators
Grahame Hardy		 103
11 Functional calculus for non-commuting operators
A.J. Pryde		 197
12 Mixed volumes and connected variational problems
N.M. Ivochkina		 109
13 Toeplitz operators on Fock spaces
Jan Janas		 115
14 The uniqueness of diffusion semigroups
Brian Jefferies		 126
15 Four remarks concerning the Feynman integral
Igor Kluvánek		 135
16 The natural generalization of the natural conditions of Ladyzhenskaya and Ural'tseva
Gary M. Lieberman		 151
17 Operators of type ω without a bounded H∞ functional calculus
Alan McIntosh and Atsushi Yagi		 159
18 Monotone operators and obstacle problems
J.H. Michael		 173
19 An invitation to the anti-periodic problem
Hiroko Okochi		 179
20 Boolean algebras of projections of uniform multiplicity one
Werner J. Ricker		 206
21 Inner product algebras and the function theory of associated Dirac operators
John Ryan		 213
22 Regularity and non-regularity for solutions of prescribed curvature equations
John I.E. Urbas		 227

Copyright statement

First published in Australia 1990

© Centre for Mathematics and Its Applications
Mathematical Sciences Institute
The Australian National University
CANBERRA ACT 0200
AUSTRALIA

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.

Edited by

Ian Doust, Brian Jefferies, Chun Li, Alan McIntosh

Miniconference on Operators in Analysis

ISBN 0 7315 0875 0