Relationship between Hardy Spaces Associated with Different Homogeneities and One-Parameter Hardy Spaces
We prove that the Hardy spaces associated with different homogeneities , are continuously embedded into the intersection of the isotropic Hardy spaces and the nonisotropic Hardy spaces . As a consequence, we obtain that any operator bounded from either or into must be bounded from to .
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/365463 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832558591699058688 |
|---|---|
| author | Xinfeng Wu |
| author_facet | Xinfeng Wu |
| author_sort | Xinfeng Wu |
| collection | DOAJ |
| description | We prove that the Hardy spaces associated with different homogeneities , are continuously embedded into the intersection of the isotropic Hardy spaces and the nonisotropic Hardy spaces . As a consequence, we obtain that any operator bounded from either or into must be bounded from to . |
| format | Article |
| id | doaj-art-5eb811c4a1304d11a0249258e234704e |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-5eb811c4a1304d11a0249258e234704e2025-02-03T01:32:02ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/365463365463Relationship between Hardy Spaces Associated with Different Homogeneities and One-Parameter Hardy SpacesXinfeng Wu0Department of Mathematics, China University of Mining & Technology, Beijing 100083, ChinaWe prove that the Hardy spaces associated with different homogeneities , are continuously embedded into the intersection of the isotropic Hardy spaces and the nonisotropic Hardy spaces . As a consequence, we obtain that any operator bounded from either or into must be bounded from to .http://dx.doi.org/10.1155/2013/365463 |
| spellingShingle | Xinfeng Wu Relationship between Hardy Spaces Associated with Different Homogeneities and One-Parameter Hardy Spaces Journal of Function Spaces and Applications |
| title | Relationship between Hardy Spaces Associated with Different Homogeneities and One-Parameter Hardy Spaces |
| title_full | Relationship between Hardy Spaces Associated with Different Homogeneities and One-Parameter Hardy Spaces |
| title_fullStr | Relationship between Hardy Spaces Associated with Different Homogeneities and One-Parameter Hardy Spaces |
| title_full_unstemmed | Relationship between Hardy Spaces Associated with Different Homogeneities and One-Parameter Hardy Spaces |
| title_short | Relationship between Hardy Spaces Associated with Different Homogeneities and One-Parameter Hardy Spaces |
| title_sort | relationship between hardy spaces associated with different homogeneities and one parameter hardy spaces |
| url | http://dx.doi.org/10.1155/2013/365463 |
| work_keys_str_mv | AT xinfengwu relationshipbetweenhardyspacesassociatedwithdifferenthomogeneitiesandoneparameterhardyspaces |