Pseudodifferential operators on α-modulation spaces

Pseudodifferential operators on α-modulation spaces

We study expansions of pseudodifferential operators from the Hörmander class in a special family of functions called brushlets. We prove that such operators have a sparse representation in a brushlet system. Using this sparsity, we show that a pseudodifferential operator extends to a bounded operato...

Full description

Bibliographic Details
Main Author: Lasse Borup
Format: Article
Language:English
Published: Hindawi Limited 2004-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2004/621924
id doaj-e78cba17d4b9491aa0689d8652bcdb26
record_format Article
spelling doaj-e78cba17d4b9491aa0689d8652bcdb262020-11-24T23:03:41ZengHindawi LimitedJournal of Function Spaces and Applications0972-68022004-01-012210712310.1155/2004/621924Pseudodifferential operators on α-modulation spacesLasse Borup0Department of Mathematical Sciences, Aalborg University, Fredrik Bajers Vej 7G, 9220 Aalborg East, DenmarkWe study expansions of pseudodifferential operators from the Hörmander class in a special family of functions called brushlets. We prove that such operators have a sparse representation in a brushlet system. Using this sparsity, we show that a pseudodifferential operator extends to a bounded operator between α-modulation spaces. These spaces were introduced by Gröbner in [15]. They are, in some sense, intermediate spaces between the classical Besov and Modulation spaces.http://dx.doi.org/10.1155/2004/621924
collection DOAJ
language English
format Article
sources DOAJ
author Lasse Borup
spellingShingle Lasse Borup
Pseudodifferential operators on α-modulation spaces
Journal of Function Spaces and Applications
author_facet Lasse Borup
author_sort Lasse Borup
title Pseudodifferential operators on α-modulation spaces
title_short Pseudodifferential operators on α-modulation spaces
title_full Pseudodifferential operators on α-modulation spaces
title_fullStr Pseudodifferential operators on α-modulation spaces
title_full_unstemmed Pseudodifferential operators on α-modulation spaces
title_sort pseudodifferential operators on α-modulation spaces
publisher Hindawi Limited
series Journal of Function Spaces and Applications
issn 0972-6802
publishDate 2004-01-01
description We study expansions of pseudodifferential operators from the Hörmander class in a special family of functions called brushlets. We prove that such operators have a sparse representation in a brushlet system. Using this sparsity, we show that a pseudodifferential operator extends to a bounded operator between α-modulation spaces. These spaces were introduced by Gröbner in [15]. They are, in some sense, intermediate spaces between the classical Besov and Modulation spaces.
url http://dx.doi.org/10.1155/2004/621924
work_keys_str_mv AT lasseborup pseudodifferentialoperatorsonamodulationspaces
_version_ 1725632644548395008

Similar Items