On spaces of vector-valued functions modeled on the Hardy and Bergman algebras
The strong N p ( X ) , N p ( X ) and weak w N p ( X ) , w N p ( X ) spaces of analytic functions with values in a Banach space X , modeled on the large Hardy N p and Bergman N p algebras respectively, are studied. The Fréchet envelopes and the continuous linear functionals on these spaces are descri...
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| Veröffentlicht in: | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Físicas y Naturales. Serie A, Matemáticas, 2020, Vol.114 (1), Article 36 |
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| container_title | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas |
| container_volume | 114 |
| creator | Nawrocki, Marek |
| description | The strong
N
p
(
X
)
,
N
p
(
X
)
and weak
w
N
p
(
X
)
,
w
N
p
(
X
)
spaces of analytic functions with values in a Banach space
X
, modeled on the large Hardy
N
p
and Bergman
N
p
algebras respectively, are studied. The Fréchet envelopes and the continuous linear functionals on these spaces are described. We show that, although that strong and weak spaces are different, they have the same locally convex structure (the Fréchet envelopes are equal). |
| doi_str_mv | 10.1007/s13398-019-00773-7 |
| format | Article |
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N
p
(
X
)
,
N
p
(
X
)
and weak
w
N
p
(
X
)
,
w
N
p
(
X
)
spaces of analytic functions with values in a Banach space
X
, modeled on the large Hardy
N
p
and Bergman
N
p
algebras respectively, are studied. The Fréchet envelopes and the continuous linear functionals on these spaces are described. We show that, although that strong and weak spaces are different, they have the same locally convex structure (the Fréchet envelopes are equal).</description><identifier>ISSN: 1578-7303</identifier><identifier>EISSN: 1579-1505</identifier><identifier>DOI: 10.1007/s13398-019-00773-7</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Analytic functions ; Applications of Mathematics ; Banach spaces ; Continuity (mathematics) ; Envelopes ; Mathematical and Computational Physics ; Mathematics ; Mathematics and Statistics ; Original Paper ; Theoretical</subject><ispartof>Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2020, Vol.114 (1), Article 36</ispartof><rights>The Royal Academy of Sciences, Madrid 2019</rights><rights>2019© The Royal Academy of Sciences, Madrid 2019</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c270t-8c7aef2b536d1f1f4c85a2ebc5420d99fe10a6f8df34162c19437a58ae86667c3</cites><orcidid>0000-0002-5492-3383</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s13398-019-00773-7$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s13398-019-00773-7$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Nawrocki, Marek</creatorcontrib><title>On spaces of vector-valued functions modeled on the Hardy and Bergman algebras</title><title>Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas</title><addtitle>RACSAM</addtitle><description>The strong
N
p
(
X
)
,
N
p
(
X
)
and weak
w
N
p
(
X
)
,
w
N
p
(
X
)
spaces of analytic functions with values in a Banach space
X
, modeled on the large Hardy
N
p
and Bergman
N
p
algebras respectively, are studied. The Fréchet envelopes and the continuous linear functionals on these spaces are described. We show that, although that strong and weak spaces are different, they have the same locally convex structure (the Fréchet envelopes are equal).</description><subject>Analytic functions</subject><subject>Applications of Mathematics</subject><subject>Banach spaces</subject><subject>Continuity (mathematics)</subject><subject>Envelopes</subject><subject>Mathematical and Computational Physics</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Original Paper</subject><subject>Theoretical</subject><issn>1578-7303</issn><issn>1579-1505</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp9kMtKAzEUhoMoWGpfwFXAdTTXSbLU4g2K3eg6pJmktkyTmswU-vbGjuDOszkXzv8fzgfANcG3BGN5VwhjWiFMNKqtZEiegQkRUiMisDg_1QpJhtklmJWyxTUY4QrLCXhbRlj21vkCU4AH7_qU0cF2g29hGKLrNykWuEut7-okRdh_evhic3uENrbwwef1zkZou7VfZVuuwEWwXfGz3zwFH0-P7_MXtFg-v87vF8hRiXuknLQ-0JVgTUsCCdwpYalfOcEpbrUOnmDbBNUGxklDHdGcSSuU9appGunYFNyMvvucvgZferNNQ471pKGMcs2Fru9OAR23XE6lZB_MPm92Nh8NweYHnRnRmYrOnNAZWUVsFJW6HNc-_1n_o_oGmJVwkg</recordid><startdate>2020</startdate><enddate>2020</enddate><creator>Nawrocki, Marek</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><orcidid>https://orcid.org/0000-0002-5492-3383</orcidid></search><sort><creationdate>2020</creationdate><title>On spaces of vector-valued functions modeled on the Hardy and Bergman algebras</title><author>Nawrocki, Marek</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c270t-8c7aef2b536d1f1f4c85a2ebc5420d99fe10a6f8df34162c19437a58ae86667c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Analytic functions</topic><topic>Applications of Mathematics</topic><topic>Banach spaces</topic><topic>Continuity (mathematics)</topic><topic>Envelopes</topic><topic>Mathematical and Computational Physics</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Original Paper</topic><topic>Theoretical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Nawrocki, Marek</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Nawrocki, Marek</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On spaces of vector-valued functions modeled on the Hardy and Bergman algebras</atitle><jtitle>Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas</jtitle><stitle>RACSAM</stitle><date>2020</date><risdate>2020</risdate><volume>114</volume><issue>1</issue><artnum>36</artnum><issn>1578-7303</issn><eissn>1579-1505</eissn><abstract>The strong
N
p
(
X
)
,
N
p
(
X
)
and weak
w
N
p
(
X
)
,
w
N
p
(
X
)
spaces of analytic functions with values in a Banach space
X
, modeled on the large Hardy
N
p
and Bergman
N
p
algebras respectively, are studied. The Fréchet envelopes and the continuous linear functionals on these spaces are described. We show that, although that strong and weak spaces are different, they have the same locally convex structure (the Fréchet envelopes are equal).</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s13398-019-00773-7</doi><orcidid>https://orcid.org/0000-0002-5492-3383</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1578-7303 |
| ispartof | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2020, Vol.114 (1), Article 36 |
| issn | 1578-7303 1579-1505 |
| language | eng |
| recordid | cdi_proquest_journals_2324945930 |
| source | SpringerNature Journals |
| subjects | Analytic functions Applications of Mathematics Banach spaces Continuity (mathematics) Envelopes Mathematical and Computational Physics Mathematics Mathematics and Statistics Original Paper Theoretical |
| title | On spaces of vector-valued functions modeled on the Hardy and Bergman algebras |
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