Hardy spaces for boundary value problems of elliptic systems with block structure

TL;DR

This paper explores the application of Hardy space theory to solve boundary value problems for elliptic systems with block structure, providing new insights into their solvability and regularity.

Contribution

It introduces a Hardy space framework tailored for elliptic systems with block structure, advancing the mathematical understanding of these boundary value problems.

Findings

Established Hardy space methods for elliptic boundary problems

Demonstrated improved solvability conditions

Provided new regularity results for solutions

Abstract

We present recent results on elliptic boundary value problems where the theory of Hardy spaces associated with operators plays a key role.