Weighted estimates for Bochner-Riesz operators on Lorentz spaces
We present new estimates in the setting of weighted Lorentz spaces of operators satisfying a limited Rubio de Francia condition; namely T is bounded on Lp(v) for every v in an strictly smaller class of weights than the Muckenhoupt class Ap. Important examples will be the Bochner–Riesz operators BRλ...
| Authors: | ; |
|---|---|
| Format: | Article |
| Publication date: | 2022 |
| Country: | España |
| Institution: | Universidad Complutense de Madrid (UCM) |
| Repository: | Docta Complutense |
| Language: | English |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/91123 |
| Online Access: | https://hdl.handle.net/20.500.14352/91123 |
| Access Level: | Open access |
| Keyword: | Bochner-Riesz operators Muchenhoupt weights Restricted weak type estrapolation Hörmander multipliers Rough operators Weighted classical Lorentz spaces Análisis matemático 12 Matemáticas |
| _version_ | 1878740120316674049 |
|---|---|
| author | Baena Miret, Sergi |
| author2 | Carro Rossell, María Jesús |
| author2_role | author |
| author_browse | Baena Miret, Sergi Carro Rossell, María Jesús |
| author_facet | Baena Miret, Sergi Carro Rossell, María Jesús |
| author_role | author |
| collection | Docta Complutense |
| description | We present new estimates in the setting of weighted Lorentz spaces of operators satisfying a limited Rubio de Francia condition; namely T is bounded on Lp(v) for every v in an strictly smaller class of weights than the Muckenhoupt class Ap. Important examples will be the Bochner–Riesz operators BRλ with 0<λ<(n−1)/2, sparse operators, Hörmander multipliers with a limited regularity condition and rough operators with Ω∈Lr(Σ) , 1<r<∞. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_cdb7e6cbcfa5da9ee69cc4fbb2dfc519 |
| institution | Universidad Complutense de Madrid (UCM) |
| instname_str | Universidad Complutense de Madrid (UCM) |
| language | eng |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:docta.ucm.es:20.500.14352/91123 |
| publishDate | 2022 |
| publishDateSort | 2022 |
| publisher | Cambridge University Press |
| publisherStr | Cambridge University Press |
| reponame_str | Docta Complutense |
| spelling | Weighted estimates for Bochner-Riesz operators on Lorentz spaces Baena Miret, Sergi Carro Rossell, María Jesús Bochner-Riesz operators Muchenhoupt weights Restricted weak type estrapolation Hörmander multipliers Rough operators Weighted classical Lorentz spaces Análisis matemático 12 Matemáticas We present new estimates in the setting of weighted Lorentz spaces of operators satisfying a limited Rubio de Francia condition; namely T is bounded on Lp(v) for every v in an strictly smaller class of weights than the Muckenhoupt class Ap. Important examples will be the Bochner–Riesz operators BRλ with 0<λ<(n−1)/2, sparse operators, Hörmander multipliers with a limited regularity condition and rough operators with Ω∈Lr(Σ) , 1<r<∞. Cambridge University Press https://hdl.handle.net/20.500.14352/91123 |
| spellingShingle | Weighted estimates for Bochner-Riesz operators on Lorentz spaces Baena Miret, Sergi Bochner-Riesz operators Muchenhoupt weights Restricted weak type estrapolation Hörmander multipliers Rough operators Weighted classical Lorentz spaces Análisis matemático 12 Matemáticas |
| title | Weighted estimates for Bochner-Riesz operators on Lorentz spaces |
| title_full | Weighted estimates for Bochner-Riesz operators on Lorentz spaces |
| title_fullStr | Weighted estimates for Bochner-Riesz operators on Lorentz spaces |
| title_full_unstemmed | Weighted estimates for Bochner-Riesz operators on Lorentz spaces |
| title_short | Weighted estimates for Bochner-Riesz operators on Lorentz spaces |
| title_sort | Weighted estimates for Bochner-Riesz operators on Lorentz spaces |
| topic | Bochner-Riesz operators Muchenhoupt weights Restricted weak type estrapolation Hörmander multipliers Rough operators Weighted classical Lorentz spaces Análisis matemático 12 Matemáticas |
| topic_facet | Bochner-Riesz operators Muchenhoupt weights Restricted weak type estrapolation Hörmander multipliers Rough operators Weighted classical Lorentz spaces Análisis matemático 12 Matemáticas |
| url | https://hdl.handle.net/20.500.14352/91123 |