Contractive inequalities for Hardy spaces
We state and discuss several interrelated results, conjectures, and questions regarding contractive inequalities for classical $H^p$ spaces of the unit disc. We study both coefficient estimates in terms of weighted $\ell^2$ sums and the Riesz projection viewed as a map from $L^q$ to $H^p$ with $q \g...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/197005 |
| Acceso en línea: | https://hdl.handle.net/2445/197005 |
| Access Level: | acceso abierto |
| Palabra clave: | Espais de Hardy Anàlisi harmònica Desigualtats (Matemàtica) Hardy spaces Harmonic analysis Inequalities (Mathematics) |
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Contractive inequalities for Hardy spacesBrevig, Ole FredrikOrtega Cerdà, JoaquimSeip, KristianZhao JingEspais de HardyAnàlisi harmònicaDesigualtats (Matemàtica)Hardy spacesHarmonic analysisInequalities (Mathematics)We state and discuss several interrelated results, conjectures, and questions regarding contractive inequalities for classical $H^p$ spaces of the unit disc. We study both coefficient estimates in terms of weighted $\ell^2$ sums and the Riesz projection viewed as a map from $L^q$ to $H^p$ with $q \geq p$. Some numerical evidence is given that supports our conjectures.Adam Mickiewicz University2023202320182023info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersion16 p.application/pdfhttps://hdl.handle.net/2445/197005Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésVersió postprint del document publicat a: https://doi.org/10.7169/facm/1680Functiones et Approximatio, Commentarii Mathematici, 2018, vol. 59, num. 1, p. 41-56https://doi.org/10.7169/facm/1680(c) Adam Mickiewicz University, 2018info:eu-repo/semantics/openAccessoai:recercat.cat:2445/1970052026-05-29T05:05:01Z |
| dc.title.none.fl_str_mv |
Contractive inequalities for Hardy spaces |
| title |
Contractive inequalities for Hardy spaces |
| spellingShingle |
Contractive inequalities for Hardy spaces Brevig, Ole Fredrik Espais de Hardy Anàlisi harmònica Desigualtats (Matemàtica) Hardy spaces Harmonic analysis Inequalities (Mathematics) |
| title_short |
Contractive inequalities for Hardy spaces |
| title_full |
Contractive inequalities for Hardy spaces |
| title_fullStr |
Contractive inequalities for Hardy spaces |
| title_full_unstemmed |
Contractive inequalities for Hardy spaces |
| title_sort |
Contractive inequalities for Hardy spaces |
| dc.creator.none.fl_str_mv |
Brevig, Ole Fredrik Ortega Cerdà, Joaquim Seip, Kristian Zhao Jing |
| author |
Brevig, Ole Fredrik |
| author_facet |
Brevig, Ole Fredrik Ortega Cerdà, Joaquim Seip, Kristian Zhao Jing |
| author_role |
author |
| author2 |
Ortega Cerdà, Joaquim Seip, Kristian Zhao Jing |
| author2_role |
author author author |
| dc.subject.none.fl_str_mv |
Espais de Hardy Anàlisi harmònica Desigualtats (Matemàtica) Hardy spaces Harmonic analysis Inequalities (Mathematics) |
| topic |
Espais de Hardy Anàlisi harmònica Desigualtats (Matemàtica) Hardy spaces Harmonic analysis Inequalities (Mathematics) |
| description |
We state and discuss several interrelated results, conjectures, and questions regarding contractive inequalities for classical $H^p$ spaces of the unit disc. We study both coefficient estimates in terms of weighted $\ell^2$ sums and the Riesz projection viewed as a map from $L^q$ to $H^p$ with $q \geq p$. Some numerical evidence is given that supports our conjectures. |
| publishDate |
2018 |
| dc.date.none.fl_str_mv |
2018 2023 2023 2023 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion |
| format |
article |
| status_str |
acceptedVersion |
| dc.identifier.none.fl_str_mv |
https://hdl.handle.net/2445/197005 |
| url |
https://hdl.handle.net/2445/197005 |
| dc.language.none.fl_str_mv |
Inglés |
| language_invalid_str_mv |
Inglés |
| dc.relation.none.fl_str_mv |
Versió postprint del document publicat a: https://doi.org/10.7169/facm/1680 Functiones et Approximatio, Commentarii Mathematici, 2018, vol. 59, num. 1, p. 41-56 https://doi.org/10.7169/facm/1680 |
| dc.rights.none.fl_str_mv |
(c) Adam Mickiewicz University, 2018 info:eu-repo/semantics/openAccess |
| rights_invalid_str_mv |
(c) Adam Mickiewicz University, 2018 |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
16 p. application/pdf |
| dc.publisher.none.fl_str_mv |
Adam Mickiewicz University |
| publisher.none.fl_str_mv |
Adam Mickiewicz University |
| dc.source.none.fl_str_mv |
Articles publicats en revistes (Matemàtiques i Informàtica) reponame:Recercat. Dipósit de la Recerca de Catalunya instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| instname_str |
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| reponame_str |
Recercat. Dipósit de la Recerca de Catalunya |
| collection |
Recercat. Dipósit de la Recerca de Catalunya |
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1869408325492277248 |
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15,811543 |