Harmonic Analysis and Partial Differential Equations

Harmonic Analysis and Partial Differential Equations Proceedings of the International Conference held in El Escorial, Spain, June 9–13, 1987 / [electronic resource] : edited by José García-Cuerva. - X, 214 p. online resource. - Lecture Notes in Mathematics, 1384 0075-8434 ; . - Lecture Notes in Mathematics, 1384 .

Differential subordination of harmonic functions and martingales -- Square functions, Cauchy integrals, analytic capacity, and harmonic measure -- Restriction theorems, Carleman estimates, uniform Sobolev inequalities and unique continuation -- Problems in harmonic analysis related to curves and surfaces with infinitely flat points -- Some topics in symmetrization -- On the size the maximal function and the hilbert transform -- ?-Calderón-zygmund operators -- On the equation and Szegö projection on CR manifolds -- Singular integrals on surfaces -- The T1 theorem for Triebel-Lizorkin spaces -- Les ondelettes -- On functions with derivatives in H1 -- Spectral synthesis in spaces of functions with derivatives in H 1 -- An averaging operator on a tree.

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.

9783540481348

10.1007/BFb0086791 doi


Topological Groups.
Global analysis (Mathematics).
Topological Groups, Lie Groups.
Analysis.

QA252.3 QA387

512.55 512.482
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