Published by Duke University Press since its inception in 1935, the Duke Mathematical Journal is one of the world's leading mathematical journals. Without specializing in a small number of subject areas, it emphasizes the most active and influential areas of current mathematics.

### Volume 64, Number 1

#### Publication Date: October 1991

The Szegö projection and the classical objects of potential theory in the plane

Steve Bell; 1-26

A perturbation result in prescribing scalar curvature on $S^n$

Sun-Yung A. Chang and Paul C. Yang; 27-69

Torsion zero-cycles and ètale homology of singular schemes

Shuji Saito; 71-83

On the first Betti numbers of hyperbolic surfaces

Xiaoxi Xue; 85-110

On Arthur’s class expansion of the relative trace formula

K. F. Lai; 111-117

Ira Herbst and Erik Skibsted; 119-147

Boundary regularity of a canonical solution of the $\overline{\partial}_b$ problem

Ricardo L. Diaz; 149-193

Hölder domains and the boundary Harnack principle

Rodrigo Bañuelos, Richard F. Bass and Krzysztof Burdzy; 195-200

On the cylinder homomorphism for a family of algebraic cycles