A q-atomic decomposition of weighted tent spaces on spaces of homogeneous type and its application
The theory of tent spaces on $\mathbb{R}^n$ was introduced by Coifman, Meyer and Stein, including atomic decomposition, duality theory and so on. Russ generalized the atomic decomposition for tent spaces to the case of spaces of homogeneous type $(X,d,\mu)$. The main purpose of this paper is to exte...
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| creator | Song, Liang Wu, Liangchuan |
| description | The theory of tent spaces on $\mathbb{R}^n$ was introduced by Coifman, Meyer
and Stein, including atomic decomposition, duality theory and so on. Russ
generalized the atomic decomposition for tent spaces to the case of spaces of
homogeneous type $(X,d,\mu)$. The main purpose of this paper is to extend the
results of Coifman, Meyer, Stein and Russ to weighted version. More precisely,
we obtain a $q$-atomic decomposition for the weighted tent spaces
$T^p_{2,w}(X)$, where $0 |
| doi_str_mv | 10.48550/arxiv.1911.00754 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_1911_00754</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1911_00754</sourcerecordid><originalsourceid>FETCH-LOGICAL-a674-dbf2f9b696be078e9f1582bb02b8d88060eacc704681ee4d06c992fd7d9f2d4a3</originalsourceid><addsrcrecordid>eNo1j8lqwzAURbXpoqT9gK7yfsCu5MgaliF0gkA32RsNT4kgtlRLHfL3bdJ2dQ9cOHAIuWO05arv6b2Zv-JHyzRjLaWy59fEruGtMTWN0YFHl8acSqwxTZACfGLcHyp6qDhVKNk4LPBz_VOAQxrTHidM7wXqKSOYyUOsBUzOx-jM2XRDroI5Frz92wXZPT7sNs_N9vXpZbPeNkZI3ngbuqCt0MIilQp1YL3qrKWdVV4pKiga5yTlQjFE7qlwWnfBS69D57lZLcjyV3uJHPIcRzOfhnPscIldfQMBnVE3</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>A q-atomic decomposition of weighted tent spaces on spaces of homogeneous type and its application</title><source>arXiv.org</source><creator>Song, Liang ; Wu, Liangchuan</creator><creatorcontrib>Song, Liang ; Wu, Liangchuan</creatorcontrib><description>The theory of tent spaces on $\mathbb{R}^n$ was introduced by Coifman, Meyer
and Stein, including atomic decomposition, duality theory and so on. Russ
generalized the atomic decomposition for tent spaces to the case of spaces of
homogeneous type $(X,d,\mu)$. The main purpose of this paper is to extend the
results of Coifman, Meyer, Stein and Russ to weighted version. More precisely,
we obtain a $q$-atomic decomposition for the weighted tent spaces
$T^p_{2,w}(X)$, where $0<p\leq 1, 1<q<\infty,$ and $w\in A_\infty$. As an
application, we give an atomic decomposition for weighted Hardy spaces
associated to nonnegative self-adjoint operators on $X$.</description><identifier>DOI: 10.48550/arxiv.1911.00754</identifier><language>eng</language><subject>Mathematics - Analysis of PDEs ; Mathematics - Functional Analysis</subject><creationdate>2019-11</creationdate><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>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1911.00754$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1911.00754$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Song, Liang</creatorcontrib><creatorcontrib>Wu, Liangchuan</creatorcontrib><title>A q-atomic decomposition of weighted tent spaces on spaces of homogeneous type and its application</title><description>The theory of tent spaces on $\mathbb{R}^n$ was introduced by Coifman, Meyer
and Stein, including atomic decomposition, duality theory and so on. Russ
generalized the atomic decomposition for tent spaces to the case of spaces of
homogeneous type $(X,d,\mu)$. The main purpose of this paper is to extend the
results of Coifman, Meyer, Stein and Russ to weighted version. More precisely,
we obtain a $q$-atomic decomposition for the weighted tent spaces
$T^p_{2,w}(X)$, where $0<p\leq 1, 1<q<\infty,$ and $w\in A_\infty$. As an
application, we give an atomic decomposition for weighted Hardy spaces
associated to nonnegative self-adjoint operators on $X$.</description><subject>Mathematics - Analysis of PDEs</subject><subject>Mathematics - Functional Analysis</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNo1j8lqwzAURbXpoqT9gK7yfsCu5MgaliF0gkA32RsNT4kgtlRLHfL3bdJ2dQ9cOHAIuWO05arv6b2Zv-JHyzRjLaWy59fEruGtMTWN0YFHl8acSqwxTZACfGLcHyp6qDhVKNk4LPBz_VOAQxrTHidM7wXqKSOYyUOsBUzOx-jM2XRDroI5Frz92wXZPT7sNs_N9vXpZbPeNkZI3ngbuqCt0MIilQp1YL3qrKWdVV4pKiga5yTlQjFE7qlwWnfBS69D57lZLcjyV3uJHPIcRzOfhnPscIldfQMBnVE3</recordid><startdate>20191102</startdate><enddate>20191102</enddate><creator>Song, Liang</creator><creator>Wu, Liangchuan</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20191102</creationdate><title>A q-atomic decomposition of weighted tent spaces on spaces of homogeneous type and its application</title><author>Song, Liang ; Wu, Liangchuan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a674-dbf2f9b696be078e9f1582bb02b8d88060eacc704681ee4d06c992fd7d9f2d4a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Mathematics - Analysis of PDEs</topic><topic>Mathematics - Functional Analysis</topic><toplevel>online_resources</toplevel><creatorcontrib>Song, Liang</creatorcontrib><creatorcontrib>Wu, Liangchuan</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Song, Liang</au><au>Wu, Liangchuan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A q-atomic decomposition of weighted tent spaces on spaces of homogeneous type and its application</atitle><date>2019-11-02</date><risdate>2019</risdate><abstract>The theory of tent spaces on $\mathbb{R}^n$ was introduced by Coifman, Meyer
and Stein, including atomic decomposition, duality theory and so on. Russ
generalized the atomic decomposition for tent spaces to the case of spaces of
homogeneous type $(X,d,\mu)$. The main purpose of this paper is to extend the
results of Coifman, Meyer, Stein and Russ to weighted version. More precisely,
we obtain a $q$-atomic decomposition for the weighted tent spaces
$T^p_{2,w}(X)$, where $0<p\leq 1, 1<q<\infty,$ and $w\in A_\infty$. As an
application, we give an atomic decomposition for weighted Hardy spaces
associated to nonnegative self-adjoint operators on $X$.</abstract><doi>10.48550/arxiv.1911.00754</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Analysis of PDEs Mathematics - Functional Analysis |
| title | A q-atomic decomposition of weighted tent spaces on spaces of homogeneous type and its application |
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