A noncommutative weak type maximal inequality for modulated ergodic averages with general weights
In this article, we prove a weak type $(p,p)$ maximal inequality, $1
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| creator | O'Brien, Morgan |
| description | In this article, we prove a weak type $(p,p)$ maximal inequality,
$1 |
| doi_str_mv | 10.48550/arxiv.2302.04466 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2302_04466</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2302_04466</sourcerecordid><originalsourceid>FETCH-LOGICAL-a676-3cc415b7b05458cbf5ee79bbceaab5b6c7e63bfc922c2d2b474001cd968bcef33</originalsourceid><addsrcrecordid>eNotj8tugzAURL3pokr7AV3FPwA1fgHLKOpLitRN9ujavhCrPFJjSPj70rSr0UijozmEPGUslYVS7BnC1c8pF4ynTEqt7wnsaD_0dui6KUL0M9ILwheNyxlpB1ffQUt9j98TtD4utB4C7QY3tRDRUQzN4LylMGOABkd68fFEG-zX2q4g35zi-EDuamhHfPzPDTm-vhz378nh8-1jvzskoHOdCGtlpkxumJKqsKZWiHlpjEUAo4y2OWphaltybrnjRuaSscy6UhfrphZiQ7Z_2JtjdQ7r9bBUv67VzVX8AG7lUj8</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>A noncommutative weak type maximal inequality for modulated ergodic averages with general weights</title><source>arXiv.org</source><creator>O'Brien, Morgan</creator><creatorcontrib>O'Brien, Morgan</creatorcontrib><description>In this article, we prove a weak type $(p,p)$ maximal inequality,
$1<p<\infty$, for weighted averages of a positive Dunford-Schwarz operator $T$
acting on a noncommutative $L_p$-space associated to a semifinite von Neumann
algebra $\mathcal{M}$, with weights in $W_q$, where
$\frac{1}{p}+\frac{1}{q}=1$. This result is then utilized to obtain modulated
individual ergodic theorems with $q$-Besicovitch and $q$-Hartman sequences as
weights. Multiparameter versions of these results are also investigated.</description><identifier>DOI: 10.48550/arxiv.2302.04466</identifier><language>eng</language><subject>Mathematics - Dynamical Systems ; Mathematics - Operator Algebras</subject><creationdate>2023-02</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>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2302.04466$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2302.04466$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>O'Brien, Morgan</creatorcontrib><title>A noncommutative weak type maximal inequality for modulated ergodic averages with general weights</title><description>In this article, we prove a weak type $(p,p)$ maximal inequality,
$1<p<\infty$, for weighted averages of a positive Dunford-Schwarz operator $T$
acting on a noncommutative $L_p$-space associated to a semifinite von Neumann
algebra $\mathcal{M}$, with weights in $W_q$, where
$\frac{1}{p}+\frac{1}{q}=1$. This result is then utilized to obtain modulated
individual ergodic theorems with $q$-Besicovitch and $q$-Hartman sequences as
weights. Multiparameter versions of these results are also investigated.</description><subject>Mathematics - Dynamical Systems</subject><subject>Mathematics - Operator Algebras</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj8tugzAURL3pokr7AV3FPwA1fgHLKOpLitRN9ujavhCrPFJjSPj70rSr0UijozmEPGUslYVS7BnC1c8pF4ynTEqt7wnsaD_0dui6KUL0M9ILwheNyxlpB1ffQUt9j98TtD4utB4C7QY3tRDRUQzN4LylMGOABkd68fFEG-zX2q4g35zi-EDuamhHfPzPDTm-vhz378nh8-1jvzskoHOdCGtlpkxumJKqsKZWiHlpjEUAo4y2OWphaltybrnjRuaSscy6UhfrphZiQ7Z_2JtjdQ7r9bBUv67VzVX8AG7lUj8</recordid><startdate>20230209</startdate><enddate>20230209</enddate><creator>O'Brien, Morgan</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20230209</creationdate><title>A noncommutative weak type maximal inequality for modulated ergodic averages with general weights</title><author>O'Brien, Morgan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a676-3cc415b7b05458cbf5ee79bbceaab5b6c7e63bfc922c2d2b474001cd968bcef33</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Mathematics - Dynamical Systems</topic><topic>Mathematics - Operator Algebras</topic><toplevel>online_resources</toplevel><creatorcontrib>O'Brien, Morgan</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>O'Brien, Morgan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A noncommutative weak type maximal inequality for modulated ergodic averages with general weights</atitle><date>2023-02-09</date><risdate>2023</risdate><abstract>In this article, we prove a weak type $(p,p)$ maximal inequality,
$1<p<\infty$, for weighted averages of a positive Dunford-Schwarz operator $T$
acting on a noncommutative $L_p$-space associated to a semifinite von Neumann
algebra $\mathcal{M}$, with weights in $W_q$, where
$\frac{1}{p}+\frac{1}{q}=1$. This result is then utilized to obtain modulated
individual ergodic theorems with $q$-Besicovitch and $q$-Hartman sequences as
weights. Multiparameter versions of these results are also investigated.</abstract><doi>10.48550/arxiv.2302.04466</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Dynamical Systems Mathematics - Operator Algebras |
| title | A noncommutative weak type maximal inequality for modulated ergodic averages with general weights |
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