THE BOUNDEDNESS OF PSEUDODIFFERENTIAL-OPERATORS ON MODULATION SPACES

Authors
TACHIZAWA K
Citation
K. Tachizawa, THE BOUNDEDNESS OF PSEUDODIFFERENTIAL-OPERATORS ON MODULATION SPACES, Mathematische Nachrichten, 168, 1994, pp. 263-277
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
168
Year of publication
1994
Pages
263 - 277
Database
ISI
SICI code
0025-584X(1994)168:<263:TBOPOM>2.0.ZU;2-T
Abstract
We give a characterization of d-dimensional modulation spaces with mod erate weights by means of the d-dimensional Wilson basis. As an applic ation we prove that pseudodifferential operators with generalized Weyl symbols are bounded on these modulation spaces.