Hankel operators on domains with bounded intrinsic geometry

TL;DR

This paper studies Hankel operators on domains with bounded intrinsic geometry, providing characterizations of symbols that lead to compact or bounded operators on spaces of square integrable holomorphic functions.

Contribution

It offers a new characterization of $L^2$-symbols for Hankel operators on these specialized domains, advancing understanding of their boundedness and compactness.

Findings

Characterization of symbols for bounded Hankel operators

Criteria for compactness of Hankel operators

Extension of operator theory to domains with bounded intrinsic geometry

Abstract

In this paper we consider Hankel operators on domains with bounded intrinsic geometry. For these domains we characterize the $L^2$-symbols where the associated Hankel operator is compact (respectively bounded) on the space of square integrable holomorphic functions.