Corrigendum to "Hardy Spaces $H_{\mathcal L}^1({\mathbb R}^n)$ Associated to Schr\"odinger Type Operators $(-\Delta)^2+V^2$" [Houston J. Math 36 (4) (2010), 1067-1095]

TL;DR

This paper corrects a previous error regarding the citation used to establish Gaussian upper bounds for heat kernels of Schrödinger-type operators involving the bi-Laplacian and potential.

Contribution

It provides a correction to the earlier work by properly citing the source for heat kernel bounds of complex Schrödinger operators.

Findings

Corrected the citation for heat kernel bounds

Ensured the validity of Gaussian upper bounds for the operators

Clarified the theoretical foundation for related Hardy space analysis

Abstract

We rectify an incorrect citation of the reference in obtaining the Gaussian upper bound for heat kernels of the Schr\"odinger type operators $(-\Delta)^2+V^2$.