On Subspaces of an Orlicz Space Spanned by Independent Identically Distributed Functions
Subspaces of an Orlicz space L M generated by probabilistically independent copies of a function , , are studied. In terms of dilations of f , we get a characterization of strongly embedded subspaces of this type and obtain conditions that guarantee that the unit ball of such a subspace has equi-abs...
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| Veröffentlicht in: | Doklady. Mathematics 2023-08, Vol.108 (1), p.297-299 |
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| container_title | Doklady. Mathematics |
| container_volume | 108 |
| creator | Astashkin, S. V. |
| description | Subspaces of an Orlicz space
L
M
generated by probabilistically independent copies of a function
,
, are studied. In terms of dilations of
f
, we get a characterization of strongly embedded subspaces of this type and obtain conditions that guarantee that the unit ball of such a subspace has equi-absolutely continuous norms in
L
M
. A class of Orlicz spaces such that, for all subspaces generated by independent identically distributed functions, these properties are equivalent and can be characterized by Matuszewska–Orlicz indices is determined. |
| doi_str_mv | 10.1134/S1064562423700801 |
| format | Article |
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L
M
generated by probabilistically independent copies of a function
,
, are studied. In terms of dilations of
f
, we get a characterization of strongly embedded subspaces of this type and obtain conditions that guarantee that the unit ball of such a subspace has equi-absolutely continuous norms in
L
M
. A class of Orlicz spaces such that, for all subspaces generated by independent identically distributed functions, these properties are equivalent and can be characterized by Matuszewska–Orlicz indices is determined.</description><identifier>ISSN: 1064-5624</identifier><identifier>EISSN: 1531-8362</identifier><identifier>DOI: 10.1134/S1064562423700801</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Mathematics ; Mathematics and Statistics ; Orlicz space ; Subspaces</subject><ispartof>Doklady. Mathematics, 2023-08, Vol.108 (1), p.297-299</ispartof><rights>Pleiades Publishing, Ltd. 2023. ISSN 1064-5624, Doklady Mathematics, 2023, Vol. 108, No. 1, pp. 297–299. © Pleiades Publishing, Ltd., 2023. Russian Text © The Author(s), 2023, published in Doklady Rossiiskoi Akademii Nauk. Matematika, Informatika, Protsessy Upravleniya, 2023, Vol. 512, pp. 65–68.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c268t-9dffe8abca987ec1a592740b9576fca0e9ceabd93148140e5ecd9befe10f428a3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S1064562423700801$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S1064562423700801$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Astashkin, S. V.</creatorcontrib><title>On Subspaces of an Orlicz Space Spanned by Independent Identically Distributed Functions</title><title>Doklady. Mathematics</title><addtitle>Dokl. Math</addtitle><description>Subspaces of an Orlicz space
L
M
generated by probabilistically independent copies of a function
,
, are studied. In terms of dilations of
f
, we get a characterization of strongly embedded subspaces of this type and obtain conditions that guarantee that the unit ball of such a subspace has equi-absolutely continuous norms in
L
M
. A class of Orlicz spaces such that, for all subspaces generated by independent identically distributed functions, these properties are equivalent and can be characterized by Matuszewska–Orlicz indices is determined.</description><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Orlicz space</subject><subject>Subspaces</subject><issn>1064-5624</issn><issn>1531-8362</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp1UE1LxDAQDaLguvoDvAU8Vydp2iZHWV1dWOhhFbyVNJ1Il5rWpD2sv96UFTyIlzfDvI-BR8g1g1vGUnG3Y5CLLOeCpwWABHZCFixLWSLTnJ_GPdLJzJ-TixD2ACLjAAvyVjq6m-owaIOB9pZqR0vfteaL7ubbjM5hQ-sD3bgGB4zgRrqZsTW66w70oQ2jb-tpjLL15MzY9i5ckjOru4BXP3NJXtePL6vnZFs-bVb328TwXI6JaqxFqWujlSzQMJ0pXgioVVbk1mhAZVDXjUqZkEwAZmgaVaNFBlZwqdMluTnmDr7_nDCM1b6fvIsvKy5VLgvIQEYVO6qM70PwaKvBtx_aHyoG1Vxg9afA6OFHT4ha947-N_l_0zcwB3Lp</recordid><startdate>20230801</startdate><enddate>20230801</enddate><creator>Astashkin, S. V.</creator><general>Pleiades Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20230801</creationdate><title>On Subspaces of an Orlicz Space Spanned by Independent Identically Distributed Functions</title><author>Astashkin, S. V.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c268t-9dffe8abca987ec1a592740b9576fca0e9ceabd93148140e5ecd9befe10f428a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Orlicz space</topic><topic>Subspaces</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Astashkin, S. V.</creatorcontrib><collection>CrossRef</collection><jtitle>Doklady. Mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Astashkin, S. V.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On Subspaces of an Orlicz Space Spanned by Independent Identically Distributed Functions</atitle><jtitle>Doklady. Mathematics</jtitle><stitle>Dokl. Math</stitle><date>2023-08-01</date><risdate>2023</risdate><volume>108</volume><issue>1</issue><spage>297</spage><epage>299</epage><pages>297-299</pages><issn>1064-5624</issn><eissn>1531-8362</eissn><abstract>Subspaces of an Orlicz space
L
M
generated by probabilistically independent copies of a function
,
, are studied. In terms of dilations of
f
, we get a characterization of strongly embedded subspaces of this type and obtain conditions that guarantee that the unit ball of such a subspace has equi-absolutely continuous norms in
L
M
. A class of Orlicz spaces such that, for all subspaces generated by independent identically distributed functions, these properties are equivalent and can be characterized by Matuszewska–Orlicz indices is determined.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S1064562423700801</doi><tpages>3</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1064-5624 |
| ispartof | Doklady. Mathematics, 2023-08, Vol.108 (1), p.297-299 |
| issn | 1064-5624 1531-8362 |
| language | eng |
| recordid | cdi_proquest_journals_2896870508 |
| source | SpringerNature Journals |
| subjects | Mathematics Mathematics and Statistics Orlicz space Subspaces |
| title | On Subspaces of an Orlicz Space Spanned by Independent Identically Distributed Functions |
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