Corrigendum to: Elliptic Boundary Value Problems with Fractional Regularity Data: The First Order Approach

TL;DR

This corrigendum corrects two major imprecisions in a monograph on elliptic boundary value problems with fractional data, clarifying Hardy space identification and interpolation of quasi-Banach spaces to ensure accuracy.

Contribution

It provides essential corrections and clarifications to previous results on Hardy spaces and interpolation in the context of elliptic boundary value problems with fractional regularity.

Findings

Corrected Hardy space identification for perturbed Dirac operators

Refined interpolation results for quasi-Banach function spaces

Ensured accuracy of previous theoretical results

Abstract

The preliminary material of the monograph (arXiv:1607.03852) written by the first two authors contains two major imprecisions that necessitates a number of (in the end harmless) changes throughout the entire text. One is about identification of abstract and concrete Hardy spaces for perturbed Dirac operators, the other one about interpolation of quasi-Banach function spaces. Since these erroneous statements are not unlikely to spread, we provide a detailed corrigendum, including further background and corrected statements for all affected results. All other results remain unchanged.