Holomorphic L^{p}-functions on Coverings of Strongly Pseudoconvex Manifolds

TL;DR

This paper develops methods to construct holomorphic L^{p}-functions on coverings of strongly pseudoconvex manifolds and proves related extension and approximation theorems, advancing the understanding of function theory in complex geometry.

Contribution

It introduces new techniques for constructing and approximating holomorphic L^{p}-functions on coverings of strongly pseudoconvex manifolds, with extension results.

Findings

Construction of holomorphic L^{p}-functions on coverings

Extension theorems for these functions

Approximation results for holomorphic functions

Abstract

In this paper we will show how to construct holomorphic L^{p}-functions on unbranched coverings of strongly pseudoconvex manifolds. Also, we prove some extension and approximation theorems for such functions.