English

$R$-boundedness of Poisson operators

Analysis of PDEs 2025-04-25 v1

Abstract

We investigate the RR-boundedness of parameter-dependent families of Poisson operators on the half-space R+n\mathbb R^n_+ in various scales of function spaces. Applications concern maximal LqL_q-regularity for boundary value problems with dynamic boundary conditions.

Keywords

Cite

@article{arxiv.2504.17557,
  title  = {$R$-boundedness of Poisson operators},
  author = {Robert Denk and Nick Lindemulder and Jörg Seiler},
  journal= {arXiv preprint arXiv:2504.17557},
  year   = {2025}
}

Comments

29 pages

R2 v1 2026-06-28T23:09:55.428Z