Rational bases for spaces of holomorphic functions in the disc
Date
2014Source
Journal of the London Mathematical SocietyVolume
89Issue
2Pages
434-460Google Scholar check
Metadata
Show full item recordAbstract
A new method for construction of bases for general distribution spaces is developed. This method allows the freedom to prescribe the nature and properties of the basis elements. The method is deployed to the construction of bases consisting of rational functions of uniformly bounded degrees for Besov and Triebel-Lizorkin spaces of holomorphic functions in the unit disc. In turn, this is utilized to give a new proof of Pekarski's direct estimate for rational approximation of holomorphic functions in. © 2014 © 2014 London Mathematical Society.