In this paper we present a new technique to prove the boundedness of localization operators on Wiener amalgam spaces and, in particular, on L^p spaces. This proof is short and simple, and, it considerably shortens the preliminaries to get the boundedness results contained in a previous paper of the authors. Then, we briefly survey the optimal results for these operators to be bounded on the aforementioned spaces.

Some Remarks on Localization Operators

CORDERO, Elena;
2011

Abstract

In this paper we present a new technique to prove the boundedness of localization operators on Wiener amalgam spaces and, in particular, on L^p spaces. This proof is short and simple, and, it considerably shortens the preliminaries to get the boundedness results contained in a previous paper of the authors. Then, we briefly survey the optimal results for these operators to be bounded on the aforementioned spaces.
Operator Theory: Advances and Applications
Springer Basel AG
213
289
305
9783034800488
localization operators; Wiener amalgam spaces
Cordero, Elena; Nicola, F.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2318/78949
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