On the range of two convolution operators

Authors
Fernandez, C
Citation
C. Fernandez, On the range of two convolution operators, MATH NACHR, 216, 2000, pp. 61-71
Citations number
14
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE NACHRICHTEN
ISSN journal
0025584X → ACNP
Volume
216
Year of publication
2000
Pages
61 - 71
Database
ISI
SICI code
0025-584X(2000)216:<61:OTROTC>2.0.ZU;2-I
Abstract
Let epsilon((omega))(IR) denote the non-quasianalytic class of Beurling typ e on IR. For mu, nu is an element of epsilon'((omega))(IR) we give necessar y conditions for the inclusion T-nu(epsilon((omega))(IR)) subset of T-mu(ep silon((omega))(IR)), thus extending previous work of MALGRANGE and EHRENPRE IS.