An Estimate of the Essential Norm of a Composition Operator from to in the Unit Ball
Let be the unit ball of and a holomorphic self-map of Let , , , , and let be the composition operator between the space and -Bloch space induced by . This paper gives an estimate of the essential norm of . As a consequence, a necessary and sufficient condition for the composition operator to be comp...
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| Veröffentlicht in: | Journal of inequalities and applications 2010-03, Vol.2010 (1), p.132970 |
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| container_title | Journal of inequalities and applications |
| container_volume | 2010 |
| creator | Zeng, Hong-Gang Zhou, Ze-Hua |
| description | Let
be the unit ball of
and
a holomorphic self-map of
Let
,
,
,
, and let
be the composition operator between the space
and
-Bloch space
induced by
. This paper gives an estimate of the essential norm of
. As a consequence, a necessary and sufficient condition for the composition operator
to be compact from
to
is obtained. |
| doi_str_mv | 10.1155/2010/132970 |
| format | Article |
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be the unit ball of
and
a holomorphic self-map of
Let
,
,
,
, and let
be the composition operator between the space
and
-Bloch space
induced by
. This paper gives an estimate of the essential norm of
. As a consequence, a necessary and sufficient condition for the composition operator
to be compact from
to
is obtained.</description><identifier>ISSN: 1029-242X</identifier><identifier>EISSN: 1029-242X</identifier><identifier>DOI: 10.1155/2010/132970</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Analysis ; Applications of Mathematics ; Mathematics ; Mathematics and Statistics ; Research Article</subject><ispartof>Journal of inequalities and applications, 2010-03, Vol.2010 (1), p.132970</ispartof><rights>Zeng and Zhou. 2010. This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c1520-44a5865ce2427f95502b3e26eea92727008f32c46d089635ace3d02177365dcf3</citedby><cites>FETCH-LOGICAL-c1520-44a5865ce2427f95502b3e26eea92727008f32c46d089635ace3d02177365dcf3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1155/2010/132970$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://doi.org/10.1155/2010/132970$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,864,27924,27925,41120,41488,42189,42557,51319,51576</link.rule.ids></links><search><creatorcontrib>Zeng, Hong-Gang</creatorcontrib><creatorcontrib>Zhou, Ze-Hua</creatorcontrib><title>An Estimate of the Essential Norm of a Composition Operator from to in the Unit Ball</title><title>Journal of inequalities and applications</title><addtitle>J Inequal Appl</addtitle><description>Let
be the unit ball of
and
a holomorphic self-map of
Let
,
,
,
, and let
be the composition operator between the space
and
-Bloch space
induced by
. This paper gives an estimate of the essential norm of
. As a consequence, a necessary and sufficient condition for the composition operator
to be compact from
to
is obtained.</description><subject>Analysis</subject><subject>Applications of Mathematics</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Research Article</subject><issn>1029-242X</issn><issn>1029-242X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><recordid>eNptkD1PwzAQhi0EEqUw8Qe8Q-jZjvMxlqh8SBVdWonNMo4NqRI7ss3Av8chDAxMd_fqudN7L0LXBO4I4XxFgcCKMFqXcIIWBGid0Zy-nv7pz9FFCEcASliVL9B-bfEmxG6QUWNncPzQaQ7axk72-MX5YVIlbtwwutDFzlm8G7WX0XlsvBtwdLizP3sH20V8L_v-Ep0Z2Qd99VuX6PCw2TdP2Xb3-Nyst5kinEKW55JXBVc6-SpNzTnQN6ZpobWsaUlLgMowqvKihaouGJdKszYZL0tW8FYZtkQ3813lXQheGzH69In_EgTEFIiYAhFzIIm-nemQKPuuvTi6T2-TwX_xb01kXpk</recordid><startdate>20100302</startdate><enddate>20100302</enddate><creator>Zeng, Hong-Gang</creator><creator>Zhou, Ze-Hua</creator><general>Springer International Publishing</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20100302</creationdate><title>An Estimate of the Essential Norm of a Composition Operator from to in the Unit Ball</title><author>Zeng, Hong-Gang ; Zhou, Ze-Hua</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c1520-44a5865ce2427f95502b3e26eea92727008f32c46d089635ace3d02177365dcf3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Analysis</topic><topic>Applications of Mathematics</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Research Article</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zeng, Hong-Gang</creatorcontrib><creatorcontrib>Zhou, Ze-Hua</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>CrossRef</collection><jtitle>Journal of inequalities and applications</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zeng, Hong-Gang</au><au>Zhou, Ze-Hua</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>An Estimate of the Essential Norm of a Composition Operator from to in the Unit Ball</atitle><jtitle>Journal of inequalities and applications</jtitle><stitle>J Inequal Appl</stitle><date>2010-03-02</date><risdate>2010</risdate><volume>2010</volume><issue>1</issue><spage>132970</spage><pages>132970-</pages><issn>1029-242X</issn><eissn>1029-242X</eissn><abstract>Let
be the unit ball of
and
a holomorphic self-map of
Let
,
,
,
, and let
be the composition operator between the space
and
-Bloch space
induced by
. This paper gives an estimate of the essential norm of
. As a consequence, a necessary and sufficient condition for the composition operator
to be compact from
to
is obtained.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1155/2010/132970</doi><oa>free_for_read</oa></addata></record> |
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| ispartof | Journal of inequalities and applications, 2010-03, Vol.2010 (1), p.132970 |
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| language | eng |
| recordid | cdi_crossref_primary_10_1155_2010_132970 |
| source | DOAJ Directory of Open Access Journals; SpringerNature Journals; Springer Nature OA Free Journals; EZB-FREE-00999 freely available EZB journals |
| subjects | Analysis Applications of Mathematics Mathematics Mathematics and Statistics Research Article |
| title | An Estimate of the Essential Norm of a Composition Operator from to in the Unit Ball |
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