Bases in some spaces of Whitney functions
Date
2017-06
Authors
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Annals of Functional Analysis
Print ISSN
Electronic ISSN
2008-8752
Publisher
Duke University Press
Volume
9
Issue
1
Pages
56 - 71
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Series
Abstract
We construct topological bases in spaces of Whitney functions on Cantor sets, which were introduced by the first author. By means of suitable individual extensions of basis elements, we construct a linear continuous exten- sion operator, when it exists for the corresponding space. In general, elements of the basis are restrictions of polynomials to certain subsets. In the case of small sets, we can present strict polynomial bases as well.