On optimal solutions of the Borel problem in the Roumieu case

David Nicolas Nenning; Armin Rainer; Gerhard Schindl

doi:10.36045/j.bbms.220322

Abstract

The Borel problem for Denjoy-Carleman and Braun-Meise-Taylor classes has well-known optimal solutions. The unified treatment of these ultradifferentiable classes by means of one-parameter families of weight sequences allows to compare these optimal solutions. We determine the relations among them and give conditions for their equivalence in the Roumieu case.

Citation

Download Citation

David Nicolas Nenning. Armin Rainer. Gerhard Schindl. "On optimal solutions of the Borel problem in the Roumieu case." Bull. Belg. Math. Soc. Simon Stevin 29 (4) 509 - 531, december 2022. https://doi.org/10.36045/j.bbms.220322

Information

Published: december 2022

First available in Project Euclid: 24 March 2023

Digital Object Identifier: 10.36045/j.bbms.220322

Subjects:

Primary: 26E10 , 46A13 , 46E10 , 46E25

Keywords: Borel map , controlled loss of regularity , extension results , mixed setting , Ultradifferentiable function classes

Abstract

Citation

Information

KEYWORDS/PHRASES

PUBLICATION TITLE:

PUBLICATION YEARS