Characteristic functions as bounded multipliers on anisotropic spaces
Abstract
We show that characteristic functions of domains with boundaries transversal to stable cones are bounded multipliers on a recently introduced scale $U^{t,s}_p$ 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. Jézéquel, January 10, 2018)
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2017
- DOI:
- 10.48550/arXiv.1704.00157
- arXiv:
- arXiv:1704.00157
- Bibcode:
- 2017arXiv170400157B
- Keywords:
-
- Mathematics - Dynamical Systems;
- Mathematics - Functional Analysis;
- Nonlinear Sciences - Chaotic Dynamics;
- Primary: 37C30;
- Secondary: 37D20;
- 37D50;
- 46F10
- E-Print:
- Amended after comments from the referee and M. J\'ez\'equel, January 10, 2018