On the boundedness of operators in LP(ιq) and Triebel-Lizorkin Spaces
Given a bounded linear operator T:LPO(ℝn)→Lp1(ℝn), we state conditions under which T defines a bounded operator between corresponding pairs of Lp(ℝn;ιq) spaces and Triebel-Lizorkin spaces Fp,qs(ℝn). Applications are given to linear parabolic equations and to Schrödinger semigroups.
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2008/981834 |
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| _version_ | 1832566595858202624 |
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| author | João Pedro Boto |
| author_facet | João Pedro Boto |
| author_sort | João Pedro Boto |
| collection | DOAJ |
| description | Given a bounded linear operator T:LPO(ℝn)→Lp1(ℝn), we state conditions under which T defines a bounded operator between corresponding pairs of Lp(ℝn;ιq) spaces and Triebel-Lizorkin spaces Fp,qs(ℝn). Applications are given to linear parabolic equations and to Schrödinger semigroups. |
| format | Article |
| id | doaj-art-15e0c0389cde4348a4faff8c10d68b0c |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-15e0c0389cde4348a4faff8c10d68b0c2025-02-03T01:03:36ZengWileyJournal of Function Spaces and Applications0972-68022008-01-016217718610.1155/2008/981834On the boundedness of operators in LP(ιq) and Triebel-Lizorkin SpacesJoão Pedro Boto0CMAF-Universidade de Lisboa, Av. Prof. Gama Pinto 2, 1699-003 Lisboa, PortugalGiven a bounded linear operator T:LPO(ℝn)→Lp1(ℝn), we state conditions under which T defines a bounded operator between corresponding pairs of Lp(ℝn;ιq) spaces and Triebel-Lizorkin spaces Fp,qs(ℝn). Applications are given to linear parabolic equations and to Schrödinger semigroups.http://dx.doi.org/10.1155/2008/981834 |
| spellingShingle | João Pedro Boto On the boundedness of operators in LP(ιq) and Triebel-Lizorkin Spaces Journal of Function Spaces and Applications |
| title | On the boundedness of operators in LP(ιq) and Triebel-Lizorkin Spaces |
| title_full | On the boundedness of operators in LP(ιq) and Triebel-Lizorkin Spaces |
| title_fullStr | On the boundedness of operators in LP(ιq) and Triebel-Lizorkin Spaces |
| title_full_unstemmed | On the boundedness of operators in LP(ιq) and Triebel-Lizorkin Spaces |
| title_short | On the boundedness of operators in LP(ιq) and Triebel-Lizorkin Spaces |
| title_sort | on the boundedness of operators in lp ιq and triebel lizorkin spaces |
| url | http://dx.doi.org/10.1155/2008/981834 |
| work_keys_str_mv | AT joaopedroboto ontheboundednessofoperatorsinlpiqandtriebellizorkinspaces |