U. Luther; M. G. Russo : Boundedness of the Hilbert Transformation in some Weighted Besov Type Spaces

Author(s) :

U. Luther; M. G. Russo

Title :

Boundedness of the Hilbert Transformation in some Weighted Besov Type Spaces

Preprint series

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 99-12, 1999

Mathematics Subject Classification :

44A15 [ Special transforms ]

46E35 [ Sobolev spaces and generalizations ]

Abstract :

The Hilbert transformation is studied on a new weighted Besov type space, characterized by means of the best approximation. This space appears as a limit case of the well-know Besov spaces defined by Ditzian and Totik, and it can be described with the help of K-functionals and moduli of smoothness.

Keywords :

Hilbert transformation, weighted Besov spaces

Language :

english

Publication time :

12/1999

Notes :

To appear in: Integral Equations and Operator Theory.