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 number
1 - Schauder Estimates on Lie Groups (pdf 746.8 KB)
Robert J Burns, Derek W Robinson
1
2 - A Note on Martingales with respect to Complex Measures (pdf 1022.39 KB)
MG Cowling, GI Gawdry and T Qian
10
3 - Surface Measures - Maximal Functions and Fourier Transforms (pdf 788.22 KB)
Michael Cowling and Giancario Mauceri
28
4 - Measures of Semi-Noncompactness and AM Mapping (pdf 720.49 KB)
Sun Daqing
38
5 - A General Markus Inequality (pdf 936.17 KB)
Peter G Dodds, Theresa KY Dodds, Ben de Pagter
47
6 - Remarks on Non-Commutative Interpolation (pdf 1.64 MB)
Peter G Dodds, Theresa KY Dodds, Ben de Pagter
58
7 - Solvability of Differential Operators on Semiradial Semidirect Products (pdf 348.75 KB)
AH Dooley
79
8 - An Example in the Theory of Spectral and Well-Bounded Operators (pdf 841.66 KB)
Ian Doust
83
9 - H∞ functional calculus of second order elliptic partial differential operators on LP spaces (pdf 1.07 MB)
Xuan Thinh Duong
91
10 - An extension of a theorem of Halmos to Orlicz spaces, and an application to Nemitsky operators (pdf 386.39 KB)
Grahame Hardy
103
11 - Mixed volumes and connected variational problems (pdf 424.45 KB)
N.M. Ivochkina
109
12 - Toeplitz operators on Fock spaces (pdf 790.29 KB)
Jan Janas
115
13 - The uniqueness of diffusion semigroups (pdf 943.58 KB)
Brian Jefferies
126
14 - Four remarks concerning the Feynman integral (pdf 957.38 KB)
Igor Kluvánek
135
15 - The natural generalization of the natural conditions of Ladyzhenskaya and Ural'tseva (pdf 544.48 KB)
Gary M. Lieberman
151
16 - Operators of type ω without a bounded H∞ functional calculus (pdf 1.65 MB)
Alan McIntosh and Atsushi Yagi
159
17 - Monotone operators and obstacle problems (pdf 444.66 KB)
J.H. Michael
173
18 - An invitation to the anti-periodic problem (pdf 1.16 MB)
Hiroko Okochi
179
19 - Functional calculus for non-commuting operators (pdf 780.78 KB)
A.J. Pryde
197
20 - Boolean algebras of projections of uniform multiplicity one (pdf 802.91 KB)
Werner J. Ricker
206
21 - Inner product algebras and the function theory of associated Dirac operators (pdf 987.94 KB)
John Ryan
213
22 - Regularity and non-regularity for solutions of prescribed curvature equations (pdf 1.4 MB)
John I.E. Urbas
227