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

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.