The forward maximal regularity operator commutes with the backward
Functional Analysis
2023-06-13 v2
Abstract
Given a generator of a bounded analytic semigroup on a Hilbert space, we show that the corresponding forward maximal regularity operator commutes with the backward. In particular, for self-adjoint generators the images under the two maximal regularity operators have equal unweighted Hilbert space norms.
Cite
@article{arxiv.2305.04209,
title = {The forward maximal regularity operator commutes with the backward},
author = {Yi C. Huang},
journal= {arXiv preprint arXiv:2305.04209},
year = {2023}
}
Comments
fixed a typo: "apply Theorem 2.1 or solely (3.2)" to "apply Theorem 2.1 or solely (2.2)"