Zero Sets of H^p Functions in Convex Domains of Finite Type
Complex Variables
2016-02-12 v1
Abstract
We give a condition under which a divisor X in a bounded convex domain of finite type D in C^n is the zero set of a function in a Hardy space H^p(D) for some p \textgreater{} 0. This generalizes Varopoulos' result [Zero sets of H^p functions in several complex variables, Pac. J. Math. (1980)] on zero sets of H^p-functions in strictly convex domains of C^n .
Cite
@article{arxiv.1602.03848,
title = {Zero Sets of H^p Functions in Convex Domains of Finite Type},
author = {William Alexandre},
journal= {arXiv preprint arXiv:1602.03848},
year = {2016}
}