Harmonic Analysis and Partial Differential Equations: Proceedings of the International Conference held in El Escorial, Spain, June 9–13, 1987

Donald L. Burkholder (auth.), José García-Cuerva (eds.)9780387514604, 0-387-51460-0

The programme of the Conference at El Escorial included 4 main courses of 3-4 hours. Their content is reflected in the four survey papers in this volume (see above). Also included are the ten 45-minute lectures of a more specialized nature.

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Table of contents :
Differential subordination of harmonic functions and martingales….Pages 1-23
Square functions, Cauchy integrals, analytic capacity, and harmonic measure….Pages 24-68
Restriction theorems, Carleman estimates, uniform Sobolev inequalities and unique continuation….Pages 69-90
Problems in harmonic analysis related to curves and surfaces with infinitely flat points….Pages 91-110
Some topics in symmetrization….Pages 111-123
On the size the maximal function and the hilbert transform….Pages 124-131
θ-Calderón-zygmund operators….Pages 132-145
On the $$bar partial _b$$ equation and Szegö projection on CR manifolds….Pages 146-158
Singular integrals on surfaces….Pages 159-167
The T1 theorem for Triebel-Lizorkin spaces….Pages 168-181
Les ondelettes….Pages 182-192
On functions with derivatives in H 1 ….Pages 193-201
Spectral synthesis in spaces of functions with derivatives in H 1 ….Pages 202-206
An averaging operator on a tree….Pages 207-213