Fourier multipliers for Triebel–Lizorkin spaces on compact Lie groups
We investigate the boundedness of Fourier multipliers on a compact Lie group when acting on Triebel-Lizorkin spaces. Criteria are given in terms of the Hormander-Mihlin-Marcinkiewicz condition. In our analysis, we use the difference structure of the unitary dual of a compact Lie group. Our results c...
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| creator | Cardona Sanchez, Duvan Ruzhansky, Michael |
| description | We investigate the boundedness of Fourier multipliers on a compact Lie group when acting on Triebel-Lizorkin spaces. Criteria are given in terms of the Hormander-Mihlin-Marcinkiewicz condition. In our analysis, we use the difference structure of the unitary dual of a compact Lie group. Our results cover the sharp Hormander-Mihlin theorem on Lebesgue spaces and also other historical results on the subject. |
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Criteria are given in terms of the Hormander-Mihlin-Marcinkiewicz condition. In our analysis, we use the difference structure of the unitary dual of a compact Lie group. Our results cover the sharp Hormander-Mihlin theorem on Lebesgue spaces and also other historical results on the subject.</description><identifier>ISSN: 0010-0757</identifier><identifier>ISSN: 2038-4815</identifier><language>eng</language><subject>Applied Mathematics ; BESOV CONTINUITY ; Compact Lie groups ; Fourier multipliers ; General Mathematics ; Hormander-Mihlin theorem ; INVARIANT OPERATORS ; Marcinkiewicz condition ; Mathematics and Statistics ; NIKOLSKII INEQUALITY ; PSEUDODIFFERENTIAL-OPERATORS ; Spectral multipliers ; THEOREMS ; Triebel-Lizorkin spaces</subject><creationdate>2022</creationdate><rights>Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) info:eu-repo/semantics/openAccess</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,315,777,781,4010,27841</link.rule.ids></links><search><creatorcontrib>Cardona Sanchez, Duvan</creatorcontrib><creatorcontrib>Ruzhansky, Michael</creatorcontrib><title>Fourier multipliers for Triebel–Lizorkin spaces on compact Lie groups</title><description>We investigate the boundedness of Fourier multipliers on a compact Lie group when acting on Triebel-Lizorkin spaces. 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| issn | 0010-0757 2038-4815 |
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| source | Ghent University Academic Bibliography; Springer Nature - Complete Springer Journals |
| subjects | Applied Mathematics BESOV CONTINUITY Compact Lie groups Fourier multipliers General Mathematics Hormander-Mihlin theorem INVARIANT OPERATORS Marcinkiewicz condition Mathematics and Statistics NIKOLSKII INEQUALITY PSEUDODIFFERENTIAL-OPERATORS Spectral multipliers THEOREMS Triebel-Lizorkin spaces |
| title | Fourier multipliers for Triebel–Lizorkin spaces on compact Lie groups |
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