A Direct Connection Between the Bergman and Szeg\H{o} Kernels

TL;DR

This paper establishes an explicit link between the Bergman and Szeg\

Contribution

It introduces a direct method using Stokes's theorem to connect these kernels on specific domains.

Findings

Explicit formulas for the kernels on the disc and ball.

Connection established on strongly pseudoconvex domains.

Method simplifies understanding of kernel relationships.

Abstract

We use Stokes's theorem to establish an explicit and concrete connection between the Bergman and Szeg\H{o} projections on the disc, the ball, and on strongly pseudoconvex domains.