A family of interpolation inequalities involving products of low-order derivatives
Gagliardo-Nirenberg interpolation inequalities relate Lebesgue norms of iterated derivatives of a function. We present a generalization of these inequalities in which the low-order term of the right-hand side is replaced by a Lebesgue norm of a pointwise product of derivatives of the function.
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | |
| container_volume | |
| creator | Marbach, Frédéric |
| description | Gagliardo-Nirenberg interpolation inequalities relate Lebesgue norms of
iterated derivatives of a function. We present a generalization of these
inequalities in which the low-order term of the right-hand side is replaced by
a Lebesgue norm of a pointwise product of derivatives of the function. |
| doi_str_mv | 10.48550/arxiv.2306.06668 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2306_06668</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2306_06668</sourcerecordid><originalsourceid>FETCH-LOGICAL-a678-92e18da58ac8b66906b7b07958879fad3682aa09067446356299aad9ec66984c3</originalsourceid><addsrcrecordid>eNotj81qwzAQhHXpoaR9gJ6qF7Cr2NZqdQyhfxAohNzN2pKLQLFc2VGbt6-S9rAMM8wsfIw9rEXZoJTiieKPS2VVCygFAOAt22_4QEfnzzwM3I2LjVPwtLgwZme_TuTd4uycTQo-ufGTTzGYU7_Ml4EP30WIxkaez6W8S3a-YzcD-dne_-uKHV6eD9u3Yvfx-r7d7AoChYWu7BoNSaQeOwAtoFOdUFoiKj2QqQErIpFz1TRQS6i0JjLa9rmMTV-v2OPf2ytUO0V3pHhuL3DtFa7-BZviSt0</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>A family of interpolation inequalities involving products of low-order derivatives</title><source>arXiv.org</source><creator>Marbach, Frédéric</creator><creatorcontrib>Marbach, Frédéric</creatorcontrib><description>Gagliardo-Nirenberg interpolation inequalities relate Lebesgue norms of
iterated derivatives of a function. We present a generalization of these
inequalities in which the low-order term of the right-hand side is replaced by
a Lebesgue norm of a pointwise product of derivatives of the function.</description><identifier>DOI: 10.48550/arxiv.2306.06668</identifier><language>eng</language><subject>Mathematics - Functional Analysis</subject><creationdate>2023-06</creationdate><rights>http://creativecommons.org/licenses/by/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2306.06668$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2306.06668$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Marbach, Frédéric</creatorcontrib><title>A family of interpolation inequalities involving products of low-order derivatives</title><description>Gagliardo-Nirenberg interpolation inequalities relate Lebesgue norms of
iterated derivatives of a function. We present a generalization of these
inequalities in which the low-order term of the right-hand side is replaced by
a Lebesgue norm of a pointwise product of derivatives of the function.</description><subject>Mathematics - Functional Analysis</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj81qwzAQhHXpoaR9gJ6qF7Cr2NZqdQyhfxAohNzN2pKLQLFc2VGbt6-S9rAMM8wsfIw9rEXZoJTiieKPS2VVCygFAOAt22_4QEfnzzwM3I2LjVPwtLgwZme_TuTd4uycTQo-ufGTTzGYU7_Ml4EP30WIxkaez6W8S3a-YzcD-dne_-uKHV6eD9u3Yvfx-r7d7AoChYWu7BoNSaQeOwAtoFOdUFoiKj2QqQErIpFz1TRQS6i0JjLa9rmMTV-v2OPf2ytUO0V3pHhuL3DtFa7-BZviSt0</recordid><startdate>20230611</startdate><enddate>20230611</enddate><creator>Marbach, Frédéric</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20230611</creationdate><title>A family of interpolation inequalities involving products of low-order derivatives</title><author>Marbach, Frédéric</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a678-92e18da58ac8b66906b7b07958879fad3682aa09067446356299aad9ec66984c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Mathematics - Functional Analysis</topic><toplevel>online_resources</toplevel><creatorcontrib>Marbach, Frédéric</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Marbach, Frédéric</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A family of interpolation inequalities involving products of low-order derivatives</atitle><date>2023-06-11</date><risdate>2023</risdate><abstract>Gagliardo-Nirenberg interpolation inequalities relate Lebesgue norms of
iterated derivatives of a function. We present a generalization of these
inequalities in which the low-order term of the right-hand side is replaced by
a Lebesgue norm of a pointwise product of derivatives of the function.</abstract><doi>10.48550/arxiv.2306.06668</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | DOI: 10.48550/arxiv.2306.06668 |
| ispartof | |
| issn | |
| language | eng |
| recordid | cdi_arxiv_primary_2306_06668 |
| source | arXiv.org |
| subjects | Mathematics - Functional Analysis |
| title | A family of interpolation inequalities involving products of low-order derivatives |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-05T12%3A16%3A44IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20family%20of%20interpolation%20inequalities%20involving%20products%20of%20low-order%20derivatives&rft.au=Marbach,%20Fr%C3%A9d%C3%A9ric&rft.date=2023-06-11&rft_id=info:doi/10.48550/arxiv.2306.06668&rft_dat=%3Carxiv_GOX%3E2306_06668%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |