Analysis at Urbana

doi:10.1017/CBO9780511662294

Throughout the academic year 1986-87, the University of Illinois was host to a symposium on mathematical analysis which was attended by some of the leading figures in the field. This book arises out of this special year and lays emphasis on the synthesis of modern and classical analysis at the current frontiers of knowledge. The contributed articles by the participants cover the gamut of mainstream topics. This book will be essential to researchers in mathematical analysis.

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Contents

Frontmatter
pp i-iv
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Acknowledgements
pp v-vi
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Contents
pp vii-viii
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Preface
pp ix-x
- By Earl Berkson, N. Tenney Peck, J. Jerry Uhl
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Membership of Hankel operators on planar domains in unitary ideals
pp 1-40
- By Jonathan Arazy, University of Haifa
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A generalised Marcel Riesz theorem on conjugate functions
pp 41-46
- By Nakhlé Asmar, California State University, Edwin Hewitt, University of Washington
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Some results in analysis related to the law of the iterated logarithm
pp 47-80
- By Rodrigo Bañuelos, University of Illinois, Charles N. Moore, Washington University
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Fourier series, mean Lipschitz spaces and bounded mean oscillation
pp 81-110
- By Paul S. Bourdon, Michigan State University, Joel H. Shapiro, Michigan State University, William T. Sledd, Michigan State University
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A remark on the maximal function associated to an analytic vector field
pp 111-132
- By J. Bourgain
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Hankel operators on HP
pp 133-150
- By Joseph Cima, University of North Carolina, David A. Stegenga, University of Hawaii at Manoa
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Contractive projections on lp spaces
pp 151-161
- By William J. Davis, The Ohio State University, Per Enflo, The Ohio State University
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Contractive projections onto subsets of L1(0,1)
pp 162-184
- By Per Enflo, The Ohio State University
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Some Banach space properties of translation invariant subspaces of Lp
pp 185-195
- By Kathryn E. Hare, University of Alberta, Nicole Tomczak-Jaegermann, University of Alberta
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Random multiplications, random coverings, and multiplicative chaos
pp 196-255
- By Jean-Pierre Kahane, University of Paris-Sud, Orsay
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Wavelets and operators
pp 256-365
- By Yves Meyer, Université de Paris Dauphine
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On the structure of the graph of the Franklin analysing wavelet
pp 366-394
- By Earl Berkson, University of Illinois
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Boundededness of the canonical projection for Sobolev spaces generated by finite families of linear differential operators
pp 395-415
- By A. Pelczynski, University of Illinois at Urbana Champaign
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Remarks on L2 restriction theorems for Riemann manifolds
pp 416-422
- By C.D. Sogge
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Analysis at Urbana

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Contents

Frontmatter
pp i-iv

Acknowledgements
pp v-vi

Contents
pp vii-viii

Preface
pp ix-x

Membership of Hankel operators on planar domains in unitary ideals
pp 1-40

A generalised Marcel Riesz theorem on conjugate functions
pp 41-46

Some results in analysis related to the law of the iterated logarithm
pp 47-80

Fourier series, mean Lipschitz spaces and bounded mean oscillation
pp 81-110

A remark on the maximal function associated to an analytic vector field
pp 111-132

Hankel operators on HP
pp 133-150

Contractive projections on lp spaces
pp 151-161

Contractive projections onto subsets of L1(0,1)
pp 162-184

Some Banach space properties of translation invariant subspaces of Lp
pp 185-195

Random multiplications, random coverings, and multiplicative chaos
pp 196-255

Wavelets and operators
pp 256-365

On the structure of the graph of the Franklin analysing wavelet
pp 366-394

Boundededness of the canonical projection for Sobolev spaces generated by finite families of linear differential operators
pp 395-415

Remarks on L2 restriction theorems for Riemann manifolds
pp 416-422

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Analysis at Urbana

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