Zeros Sets Of H^p Functions In Lineally Convex Domains Of Finite Type In C^n

TL;DR

This paper extends Varopoulos's results on zero sets of H^p functions from strictly pseudo-convex domains to lineally convex domains of finite type in complex n-dimensional space, broadening the understanding of zero set behavior.

Contribution

It introduces a generalization of zero set characterization for H^p functions to a wider class of lineally convex finite type domains in C^n.

Findings

Extended zero set results to lineally convex domains

Broadened the class of domains where H^p zero sets are characterized

Provided new insights into the structure of zero sets in complex analysis

Abstract

In this note we extend N. Th. Varopoulos result on zero sets of H p functions of strictly pseudo-convex domains in C n to lineally convex domains of finite type.