English

Maximal regularity under quadratic estimates

Functional Analysis 2023-09-13 v1

Abstract

In this Short Note we complement the intriguing harmonic analytic perspective due to P. Auscher and A. Axelsson for the abstract evolution equations. This concerns a unified approach to temporally weighted estimates for the forward and backward maximal regularity operators in presence of quadratic estimates and functional calculi. In particular we provide several invariance properties for the maximal regularity operators either in evolution form or in balayage form.

Keywords

Cite

@article{arxiv.2309.06060,
  title  = {Maximal regularity under quadratic estimates},
  author = {Yi C. Huang},
  journal= {arXiv preprint arXiv:2309.06060},
  year   = {2023}
}
R2 v1 2026-06-28T12:18:59.099Z