SCHATTEN p CLASS HANKEL OPERATORS ON THE SEGAL–BARGMANN SPACE H2(ℂn,dμ) FOR 0 < p < 1
We consider Hankel operators on the Segal–Bargmann space H2(ℂn,dμ). We obtain necessary and sufficient conditions for the simultaneous membership of Hf and Hf̅ in the Schatten class Sp for 0 < p < 1. In particular, we show that the necessary and sufficient conditions obtained by J. Xia and D....
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| Veröffentlicht in: | Journal of operator theory 2011-07, Vol.66 (1), p.145-160 |
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| container_title | Journal of operator theory |
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| creator | ISRALOWITZ, J. |
| description | We consider Hankel operators on the Segal–Bargmann space H2(ℂn,dμ). We obtain necessary and sufficient conditions for the simultaneous membership of Hf and Hf̅ in the Schatten class Sp for 0 < p < 1. In particular, we show that the necessary and sufficient conditions obtained by J. Xia and D. Zheng for the case 1 ≤ p < ∞ extends to the case 0 < p < 1. |
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We obtain necessary and sufficient conditions for the simultaneous membership of Hf and Hf̅ in the Schatten class Sp for 0 < p < 1. In particular, we show that the necessary and sufficient conditions obtained by J. Xia and D. 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We obtain necessary and sufficient conditions for the simultaneous membership of Hf and Hf̅ in the Schatten class Sp for 0 < p < 1. In particular, we show that the necessary and sufficient conditions obtained by J. Xia and D. Zheng for the case 1 ≤ p < ∞ extends to the case 0 < p < 1.</description><subject>Cubes</subject><subject>Hankel operators</subject><subject>Operator theory</subject><subject>Standard deviation</subject><issn>0379-4024</issn><issn>1841-7744</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><sourceid/><recordid>eNpjYuA0tDAx1DU3NzFhYeA0MDa31DUxMDLhYOAqLs4yMDA2NDA34mSICnb2cAwJcfVTKFBw9nEMDlbwcPTzdvVR8A9wDXIM8Q8KVvD3UwjxcFUIdnV39HnUMNnJMcjd19HPTyE4wNHZVcHDSONRS1OeTsq5PZoKbv5BCgYKNkCzbBQMeRhY0xJzilN5oTQ3g6yba4izh25WcUl-UXxBUWZuYlFlvJGJuaGppYWFMSF5AJTROME</recordid><startdate>20110701</startdate><enddate>20110701</enddate><creator>ISRALOWITZ, J.</creator><general>Theta Foundation</general><scope/></search><sort><creationdate>20110701</creationdate><title>SCHATTEN p CLASS HANKEL OPERATORS ON THE SEGAL–BARGMANN SPACE H2(ℂn,dμ) FOR 0 < p < 1</title><author>ISRALOWITZ, J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-jstor_primary_247159883</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Cubes</topic><topic>Hankel operators</topic><topic>Operator theory</topic><topic>Standard deviation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>ISRALOWITZ, J.</creatorcontrib><jtitle>Journal of operator theory</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>ISRALOWITZ, J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>SCHATTEN p CLASS HANKEL OPERATORS ON THE SEGAL–BARGMANN SPACE H2(ℂn,dμ) FOR 0 < p < 1</atitle><jtitle>Journal of operator theory</jtitle><date>2011-07-01</date><risdate>2011</risdate><volume>66</volume><issue>1</issue><spage>145</spage><epage>160</epage><pages>145-160</pages><issn>0379-4024</issn><eissn>1841-7744</eissn><abstract>We consider Hankel operators on the Segal–Bargmann space H2(ℂn,dμ). We obtain necessary and sufficient conditions for the simultaneous membership of Hf and Hf̅ in the Schatten class Sp for 0 < p < 1. In particular, we show that the necessary and sufficient conditions obtained by J. Xia and D. Zheng for the case 1 ≤ p < ∞ extends to the case 0 < p < 1.</abstract><pub>Theta Foundation</pub></addata></record> |
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| ispartof | Journal of operator theory, 2011-07, Vol.66 (1), p.145-160 |
| issn | 0379-4024 1841-7744 |
| language | eng |
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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; JSTOR Mathematics & Statistics; Jstor Complete Legacy |
| subjects | Cubes Hankel operators Operator theory Standard deviation |
| title | SCHATTEN p CLASS HANKEL OPERATORS ON THE SEGAL–BARGMANN SPACE H2(ℂn,dμ) FOR 0 < p < 1 |
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