Miniconference on Operators in Analysis

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.

 

Contents

Chapter Page no
1 - Schauder Estimates on Lie Groups (PDF, 747KB)
Robert J Burns, Derek W Robinson
1
2 - A Note on Martingales with respect to Complex Measures (PDF, 1024KB)
MG Cowling, GI Gawdry and T Qian
10
3 - Surface Measures - Maximal Functions and Fourier Transforms (PDF, 788KB)
Michael Cowling and Giancario Mauceri
28
4 - Measures of Semi-Noncompactness and AM Mapping (PDF, 720KB)
Sun Daqing
38
5 - A General Markus Inequality (PDF, 936KB)
Peter G Dodds, Theresa KY Dodds, Ben de Pagter
47
6 - Remarks on Non-Commutative Interpolation (PDF, 1638KB)
Peter G Dodds, Theresa KY Dodds, Ben de Pagter
58
7 - Solvability of Differential Operators on Semiradial Semidirect Products (PDF, 349KB)
AH Dooley
79
8 - An Example in the Theory of Spectral and Well-Bounded Operators (PDF, 842KB)
Ian Doust
83
9 - H∞ functional calculus of second order elliptic partial differential operators on LP spaces (PDF, 1126KB)
Xuan Thinh Duong
91
10 - An extension of a theorem of Halmos to Orlicz spaces, and an application to Nemitsky operators (PDF, 386KB)
Grahame Hardy
103
11 - Mixed volumes and connected variational problems (PDF, 424KB)
N.M. Ivochkina
109
12 - Toeplitz operators on Fock spaces (PDF, 790KB)
Jan Janas
115
13 - The uniqueness of diffusion semigroups (PDF, 944KB)
Brian Jefferies
126
14 - Four remarks concerning the Feynman integral (PDF, 957KB)
Igor Kluvánek
135
15 - The natural generalization of the natural conditions of Ladyzhenskaya and Ural'tseva (PDF, 544KB)
Gary M. Lieberman
151
16 - Operators of type ω without a bounded H∞ functional calculus (PDF, 1638KB)
Alan McIntosh and Atsushi Yagi
159
17 - Monotone operators and obstacle problems (PDF, 445KB)
J.H. Michael
173
18 - An invitation to the anti-periodic problem (PDF, 1229KB)
Hiroko Okochi
179
19 - Functional calculus for non-commuting operators (PDF, 781KB)
A.J. Pryde
197
20 - Boolean algebras of projections of uniform multiplicity one (PDF, 803KB)
Werner J. Ricker
206
21 - Inner product algebras and the function theory of associated Dirac operators (PDF, 1024KB)
John Ryan
213
22 - Regularity and non-regularity for solutions of prescribed curvature equations (PDF, 1434KB)
John I.E. Urbas
227

Printed copy

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Volume

Volume 24

Date

25 Sep 1989 to 27 Sep 1989

Venue

Macquarie University

Updated:  27 March 2017/Responsible Officer:  Director/Page Contact:  School Manager