Lecture Series N.10: Applications of Harmonic Measure (1985).

Principal Lecturer: John Garnett (UCLA).

Contributions by:

J. Wermer (Brown University), Bounded Analytic Functions and Polynomial Hulls.

J. Brennan (U. Kentucky) The Derivative of the Conformal Mapping

Albert Baernstein (Washington University) Tom Wolff's Non-Fatou Theorems for the p-Laplacian

Carl Sundberg (U. Tennessee) Douglas Algebras

Tavan Trent (Indiana) J. Thomson's Proof of the Invariant Subspace for Subnormal operators

Burgess Davis (Purdue) Various Characterizations of the Distributions of Functions in Real Hardy Spaces

B. Oskendal (UCLA) Harmonic Measure, Brownian motion, and Removable Singularities for Analytic Functions.

D. Marshall (U. Washington) Functions Theory in Planar Domains with Thick Complement

J-M J. Wu (U. Illinois) Length of Paths for Subharmonic Functions

Hung Nguyen (UC Berkeley) Estimates of Harmonic Measures of Subsets of Lipschitz Curves

R. Gundy (Rutgers) Dirichlet's Problem and Martingale Theory Without Harmonic functions

John Lewis (U. Kentucky) Convexity Theorems in PDEs

M. Sakai (IAS) Estimation of Exit Times of Brownian Motion and Harmonic Majorization

B. Tomaszewski (Oklahoma State) Sharp Weak-Type Inequalities for Analytic Functions in the Unit Disc

D. Ullrich (Oklahoma State) A Tauberian Theorem for Pluriharmonic BMO Functions

Z. Slodowski, (UCLA) Analytic Multifunctions and Complex Interpolation Spaces