On some operator-valued Fourier pseudo-multipliers associated to Grushin operators
This is a continuation of our work [BBGG23, BBGG22] where we have initiated the study of sparse domination and quantitative weighted estimates for Grushin pseudo-multipliers. In this article, we further extend this analysis to study analogous estimates for a family of operator-valued Fourier pseudo-...
Gespeichert in:
| Veröffentlicht in: | arXiv.org 2023-07 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | arXiv.org |
| container_volume | |
| creator | Bagchi, Sayan Basak, Riju Garg, Rahul Ghosh, Abhishek |
| description | This is a continuation of our work [BBGG23, BBGG22] where we have initiated the study of sparse domination and quantitative weighted estimates for Grushin pseudo-multipliers. In this article, we further extend this analysis to study analogous estimates for a family of operator-valued Fourier pseudo-multipliers associated to Grushin operators \(G = - \Delta_{x^{\prime}} - |x^{\prime}|^2 \Delta_{x^{\prime \prime}}\) on \(\mathbb{R}^{n_1+n_2}.\) |
| doi_str_mv | 10.48550/arxiv.2307.09743 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_2307_09743</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2840077779</sourcerecordid><originalsourceid>FETCH-LOGICAL-a953-56e515e4f099e942a5e6212c09660720d08b7327e6398100d2cd2091f2b5e183</originalsourceid><addsrcrecordid>eNo9j1FLwzAUhYMgOOZ-gE8GfG69uWma5lGGm4PBQH0vWXuLGe1Sk3bov7du4n05cPk4nI-xOwFpVigFjzZ8uVOKEnQKRmfyis1QSpEUGeINW8R4AADMNSolZ-x1d-TRd8R9T8EOPiQn245U85Ufg6PA-0hj7ZNubAfXt9Mnchujr5wdJmrwfB3G-OGO_wXxll03to20-Ms5e1s9vy9fku1uvVk-bRNrlExUTkooyhowhkyGVlGOAisweQ4aoYZiryVqyqUpBECNVY1gRIN7RaKQc3Z_aT37ln1wnQ3f5a93efaeiIcL0Qf_OVIcysPkdJwmlVhkAHo6I38AHxNauA</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2840077779</pqid></control><display><type>article</type><title>On some operator-valued Fourier pseudo-multipliers associated to Grushin operators</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Bagchi, Sayan ; Basak, Riju ; Garg, Rahul ; Ghosh, Abhishek</creator><creatorcontrib>Bagchi, Sayan ; Basak, Riju ; Garg, Rahul ; Ghosh, Abhishek</creatorcontrib><description>This is a continuation of our work [BBGG23, BBGG22] where we have initiated the study of sparse domination and quantitative weighted estimates for Grushin pseudo-multipliers. In this article, we further extend this analysis to study analogous estimates for a family of operator-valued Fourier pseudo-multipliers associated to Grushin operators \(G = - \Delta_{x^{\prime}} - |x^{\prime}|^2 \Delta_{x^{\prime \prime}}\) on \(\mathbb{R}^{n_1+n_2}.\)</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.2307.09743</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Estimates ; Mathematics - Analysis of PDEs ; Mathematics - Classical Analysis and ODEs ; Mathematics - Functional Analysis ; Multipliers ; Operators</subject><ispartof>arXiv.org, 2023-07</ispartof><rights>2023. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,784,885,27925</link.rule.ids><backlink>$$Uhttps://doi.org/10.1016/j.jmaa.2024.128498$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.2307.09743$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Bagchi, Sayan</creatorcontrib><creatorcontrib>Basak, Riju</creatorcontrib><creatorcontrib>Garg, Rahul</creatorcontrib><creatorcontrib>Ghosh, Abhishek</creatorcontrib><title>On some operator-valued Fourier pseudo-multipliers associated to Grushin operators</title><title>arXiv.org</title><description>This is a continuation of our work [BBGG23, BBGG22] where we have initiated the study of sparse domination and quantitative weighted estimates for Grushin pseudo-multipliers. In this article, we further extend this analysis to study analogous estimates for a family of operator-valued Fourier pseudo-multipliers associated to Grushin operators \(G = - \Delta_{x^{\prime}} - |x^{\prime}|^2 \Delta_{x^{\prime \prime}}\) on \(\mathbb{R}^{n_1+n_2}.\)</description><subject>Estimates</subject><subject>Mathematics - Analysis of PDEs</subject><subject>Mathematics - Classical Analysis and ODEs</subject><subject>Mathematics - Functional Analysis</subject><subject>Multipliers</subject><subject>Operators</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNo9j1FLwzAUhYMgOOZ-gE8GfG69uWma5lGGm4PBQH0vWXuLGe1Sk3bov7du4n05cPk4nI-xOwFpVigFjzZ8uVOKEnQKRmfyis1QSpEUGeINW8R4AADMNSolZ-x1d-TRd8R9T8EOPiQn245U85Ufg6PA-0hj7ZNubAfXt9Mnchujr5wdJmrwfB3G-OGO_wXxll03to20-Ms5e1s9vy9fku1uvVk-bRNrlExUTkooyhowhkyGVlGOAisweQ4aoYZiryVqyqUpBECNVY1gRIN7RaKQc3Z_aT37ln1wnQ3f5a93efaeiIcL0Qf_OVIcysPkdJwmlVhkAHo6I38AHxNauA</recordid><startdate>20230719</startdate><enddate>20230719</enddate><creator>Bagchi, Sayan</creator><creator>Basak, Riju</creator><creator>Garg, Rahul</creator><creator>Ghosh, Abhishek</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20230719</creationdate><title>On some operator-valued Fourier pseudo-multipliers associated to Grushin operators</title><author>Bagchi, Sayan ; Basak, Riju ; Garg, Rahul ; Ghosh, Abhishek</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a953-56e515e4f099e942a5e6212c09660720d08b7327e6398100d2cd2091f2b5e183</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Estimates</topic><topic>Mathematics - Analysis of PDEs</topic><topic>Mathematics - Classical Analysis and ODEs</topic><topic>Mathematics - Functional Analysis</topic><topic>Multipliers</topic><topic>Operators</topic><toplevel>online_resources</toplevel><creatorcontrib>Bagchi, Sayan</creatorcontrib><creatorcontrib>Basak, Riju</creatorcontrib><creatorcontrib>Garg, Rahul</creatorcontrib><creatorcontrib>Ghosh, Abhishek</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Access via ProQuest (Open Access)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv Mathematics</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bagchi, Sayan</au><au>Basak, Riju</au><au>Garg, Rahul</au><au>Ghosh, Abhishek</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On some operator-valued Fourier pseudo-multipliers associated to Grushin operators</atitle><jtitle>arXiv.org</jtitle><date>2023-07-19</date><risdate>2023</risdate><eissn>2331-8422</eissn><abstract>This is a continuation of our work [BBGG23, BBGG22] where we have initiated the study of sparse domination and quantitative weighted estimates for Grushin pseudo-multipliers. In this article, we further extend this analysis to study analogous estimates for a family of operator-valued Fourier pseudo-multipliers associated to Grushin operators \(G = - \Delta_{x^{\prime}} - |x^{\prime}|^2 \Delta_{x^{\prime \prime}}\) on \(\mathbb{R}^{n_1+n_2}.\)</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.2307.09743</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 2023-07 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_arxiv_primary_2307_09743 |
| source | arXiv.org; Free E- Journals |
| subjects | Estimates Mathematics - Analysis of PDEs Mathematics - Classical Analysis and ODEs Mathematics - Functional Analysis Multipliers Operators |
| title | On some operator-valued Fourier pseudo-multipliers associated to Grushin operators |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-02T10%3A37%3A07IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20some%20operator-valued%20Fourier%20pseudo-multipliers%20associated%20to%20Grushin%20operators&rft.jtitle=arXiv.org&rft.au=Bagchi,%20Sayan&rft.date=2023-07-19&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.2307.09743&rft_dat=%3Cproquest_arxiv%3E2840077779%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2840077779&rft_id=info:pmid/&rfr_iscdi=true |