English

Characteristic functions as bounded multipliers on anisotropic spaces

Dynamical Systems 2018-01-12 v2 Functional Analysis Chaotic Dynamics

Abstract

We show that characteristic functions of domains with boundaries transversal to stable cones are bounded multipliers on a recently introduced scale Upt,sU^{t,s}_p of anisotropic Banach spaces, under the conditions -1+1/p<s<-t<0 and -(r-1)+t<s, with 1<p<infty. (Amended after comments from the referee and M. J\'ez\'equel, January 10, 2018)

Keywords

Cite

@article{arxiv.1704.00157,
  title  = {Characteristic functions as bounded multipliers on anisotropic spaces},
  author = {Viviane Baladi},
  journal= {arXiv preprint arXiv:1704.00157},
  year   = {2018}
}

Comments

Amended after comments from the referee and M. J\'ez\'equel, January 10, 2018

R2 v1 2026-06-22T19:04:29.298Z