Noncommutative Orlicz–Hardy spaces associated with growth functions
In this paper, we first present several basic properties of growth functions, and then prove a Hölder type inequality on noncommutative Orlicz spaces associated with a growth function. Moreover, we prove Riesz and Szegö type factorization theorems and the contractivity of the conditional expectation...
Uloženo v:
| Vydáno v: | Journal of mathematical analysis and applications Ročník 420; číslo 1; s. 824 - 834 |
|---|---|
| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Elsevier Inc
01.12.2014
|
| Témata: | |
| ISSN: | 0022-247X, 1096-0813 |
| On-line přístup: | Získat plný text |
| Tagy: |
Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
|
| Abstract | In this paper, we first present several basic properties of growth functions, and then prove a Hölder type inequality on noncommutative Orlicz spaces associated with a growth function. Moreover, we prove Riesz and Szegö type factorization theorems and the contractivity of the conditional expectation on noncommutative Orlicz–Hardy spaces associated with a growth function. |
|---|---|
| AbstractList | In this paper, we first present several basic properties of growth functions, and then prove a Hölder type inequality on noncommutative Orlicz spaces associated with a growth function. Moreover, we prove Riesz and Szegö type factorization theorems and the contractivity of the conditional expectation on noncommutative Orlicz–Hardy spaces associated with a growth function. |
| Author | Abdurexit, Abdugheni Bekjan, Turdebek N. |
| Author_xml | – sequence: 1 givenname: Abdugheni surname: Abdurexit fullname: Abdurexit, Abdugheni email: abdugheni.a@gmail.com – sequence: 2 givenname: Turdebek N. surname: Bekjan fullname: Bekjan, Turdebek N. email: bek@xju.edu.cn |
| BookMark | eNp9kDFOwzAYRi1UJNrCBZhygYTfduI4EguqCkWq6AISm-XYDjhq48p2W5WJO3BDTkKiMjEwfdP7pPcmaNS5ziB0jSHDgNlNm7UbKTMCOM-AZYD5GRpjqFgKHNMRGgMQkpK8fL1AkxBaAIyLEo_R_Ml1ym02uyij3Ztk5ddWfXx_fi2k18ckbKUyIZEhOGVlNDo52PievHl36KfZdSpa14VLdN7IdTBXvztFL_fz59kiXa4eHmd3y1TREmJaaEIo5jnXkNNcl7WsgGmiGC6KJq8rymmBCa5YI0HVRlWaKmXypuIc1xXTdIrI6Vd5F4I3jdh6u5H-KDCIIYRoxRBCDCEEMNGH6CH-B1J2sHVd9NKu_0dvT6jppfbWeBGUNZ0y2nqjotDO_of_AJ9tfVA |
| CitedBy_id | crossref_primary_10_3103_S1066369X16120033 |
| Cites_doi | 10.2307/2373237 10.1090/S0002-9947-08-04506-6 10.1016/S1874-5849(03)80041-4 10.1007/s00020-012-1974-8 10.2140/pjm.1986.123.269 10.1017/S030500410006998X |
| ContentType | Journal Article |
| Copyright | 2014 Elsevier Inc. |
| Copyright_xml | – notice: 2014 Elsevier Inc. |
| DBID | 6I. AAFTH AAYXX CITATION |
| DOI | 10.1016/j.jmaa.2014.06.018 |
| DatabaseName | ScienceDirect Open Access Titles Elsevier:ScienceDirect:Open Access CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1096-0813 |
| EndPage | 834 |
| ExternalDocumentID | 10_1016_j_jmaa_2014_06_018 S0022247X14005654 |
| GrantInformation_xml | – fundername: NSFC grantid: 11371304 funderid: http://dx.doi.org/10.13039/501100001809 |
| GroupedDBID | --K --M --Z -~X .~1 0R~ 0SF 1B1 1RT 1~. 4.4 457 4G. 5GY 5VS 6I. 71M 85S 8P~ 9JN AABNK AACTN AAEDT AAEDW AAFTH AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AASFE AAXUO ABAOU ABJNI ABMAC ABVKL ABXDB ABYKQ ACAZW ACDAQ ACGFS ACRLP ADBBV ADEZE AEBSH AEKER AENEX AEXQZ AFKWA AFTJW AGUBO AGYEJ AHHHB AIEXJ AIGVJ AIKHN AITUG AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ ARUGR AXJTR BKOJK BLXMC CS3 DM4 EBS EFBJH EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FIRID FNPLU FYGXN G-Q GBLVA HVGLF IHE IXB J1W KOM LG5 M25 M41 MCRUF MHUIS MO0 N9A NCXOZ O-L O9- OAUVE OK1 OZT P-8 P-9 P2P PC. Q38 RIG RNS ROL RPZ SDF SDG SDP SES SPC SPCBC SSW SSZ T5K TN5 TWZ UPT WH7 XPP YQT ZMT ZU3 ~G- 1~5 29L 6TJ 7-5 9DU AAQXK AATTM AAXKI AAYWO AAYXX ABDPE ABEFU ABFNM ABUFD ABWVN ACLOT ACRPL ACVFH ADCNI ADFGL ADIYS ADMUD ADNMO ADVLN ADXHL AEIPS AETEA AEUPX AFFNX AFJKZ AFPUW AGHFR AGQPQ AI. AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP ASPBG AVWKF AZFZN CAG CITATION COF EFKBS FGOYB G-2 HZ~ H~9 MVM OHT R2- SEW VH1 VOH WUQ XOL YYP ZCG ~HD |
| ID | FETCH-LOGICAL-c370t-5d2231848d0434d7ba906d2c6155f4b9383512196fa0cbec9d3cce4f9881b96d3 |
| ISICitedReferencesCount | 3 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000339455500052&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0022-247X |
| IngestDate | Sat Nov 29 02:56:13 EST 2025 Tue Nov 18 22:30:39 EST 2025 Fri Feb 23 02:32:59 EST 2024 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Keywords | Noncommutative Orlicz spaces Szegö, Riesz type factorizations Noncommutative Orlicz–Hardy spaces Hölder type inequalities Growth function |
| Language | English |
| License | http://www.elsevier.com/open-access/userlicense/1.0 |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c370t-5d2231848d0434d7ba906d2c6155f4b9383512196fa0cbec9d3cce4f9881b96d3 |
| OpenAccessLink | https://dx.doi.org/10.1016/j.jmaa.2014.06.018 |
| PageCount | 11 |
| ParticipantIDs | crossref_primary_10_1016_j_jmaa_2014_06_018 crossref_citationtrail_10_1016_j_jmaa_2014_06_018 elsevier_sciencedirect_doi_10_1016_j_jmaa_2014_06_018 |
| PublicationCentury | 2000 |
| PublicationDate | 2014-12-01 |
| PublicationDateYYYYMMDD | 2014-12-01 |
| PublicationDate_xml | – month: 12 year: 2014 text: 2014-12-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationTitle | Journal of mathematical analysis and applications |
| PublicationYear | 2014 |
| Publisher | Elsevier Inc |
| Publisher_xml | – name: Elsevier Inc |
| References | Bekjan, Xu (br0030) 2009; 62 Fack, Kosaki (br0080) 1986; 123 Xu (br0150) 1991; 109 Pisier, Xu (br0120) 2003 Marsalli, West (br0110) 1998; 40 Blecher, Labuschagne (br0040) 2008; 360 Maligranda (br0100) 1989 Bonami, Sehba (br0050) 2009; 50 Arveson (br0020) 1967; 89 Rao, Ren (br0130) 2002 Sehba, Tchoundja (br0140) 2012; 73 Abdurexit, Bekjan (br0010) 2014; 348 Bonami (10.1016/j.jmaa.2014.06.018_br0050) 2009; 50 Blecher (10.1016/j.jmaa.2014.06.018_br0040) 2008; 360 Sehba (10.1016/j.jmaa.2014.06.018_br0140) 2012; 73 Rao (10.1016/j.jmaa.2014.06.018_br0130) 2002 Xu (10.1016/j.jmaa.2014.06.018_br0150) 1991; 109 Abdurexit (10.1016/j.jmaa.2014.06.018_br0010) 2014; 348 Fack (10.1016/j.jmaa.2014.06.018_br0080) 1986; 123 Maligranda (10.1016/j.jmaa.2014.06.018_br0100) 1989 Arveson (10.1016/j.jmaa.2014.06.018_br0020) 1967; 89 Pisier (10.1016/j.jmaa.2014.06.018_br0120) 2003 Bekjan (10.1016/j.jmaa.2014.06.018_br0030) 2009; 62 Marsalli (10.1016/j.jmaa.2014.06.018_br0110) 1998; 40 |
| References_xml | – volume: 40 start-page: 339 year: 1998 end-page: 355 ident: br0110 article-title: Noncommutative publication-title: J. Operator Theory – volume: 89 start-page: 578 year: 1967 end-page: 642 ident: br0020 article-title: Analyticity in operator algebras publication-title: Amer. J. Math. – volume: 123 start-page: 269 year: 1986 end-page: 300 ident: br0080 article-title: Generalized publication-title: Pacific J. Math. – volume: 50 start-page: 187 year: 2009 end-page: 199 ident: br0050 article-title: Hankel operators between Hardy–Orlicz spaces and products of holomorphic functions publication-title: Rev. Unión Mat. Argent. – volume: 73 start-page: 331 year: 2012 end-page: 349 ident: br0140 article-title: Hankel operators on holomorphic Hardy–Orlicz spaces publication-title: Integral Equations Operator Theory – volume: 360 start-page: 6131 year: 2008 end-page: 6147 ident: br0040 article-title: Applications of the Fuglede–Kadison determinant: Szegö's theorem and outers for noncommutative publication-title: Trans. Amer. Math. Soc. – volume: 348 start-page: 1 year: 2014 end-page: 9 ident: br0010 article-title: Noncommutative Orlicz–Hardy spaces publication-title: Acta Math. Sci. – volume: 62 start-page: 215 year: 2009 end-page: 231 ident: br0030 article-title: Riesz and Szegö type factorizations for noncommutative Hardy spaces publication-title: J. Operator Theory – start-page: 1459 year: 2003 end-page: 1517 ident: br0120 article-title: Noncommutative publication-title: Handbook of the Geometry of Banach Spaces, vol. 2 – year: 1989 ident: br0100 article-title: Orlicz Spaces and Interpolation – year: 2002 ident: br0130 article-title: Application of Orlicz Spaces – volume: 109 start-page: 541 year: 1991 end-page: 563 ident: br0150 article-title: Analytic functions with values in lattices and symmetric spaces of measurable operators publication-title: Math. Proc. Cambridge Philos. Soc. – volume: 62 start-page: 215 year: 2009 ident: 10.1016/j.jmaa.2014.06.018_br0030 article-title: Riesz and Szegö type factorizations for noncommutative Hardy spaces publication-title: J. Operator Theory – volume: 50 start-page: 187 year: 2009 ident: 10.1016/j.jmaa.2014.06.018_br0050 article-title: Hankel operators between Hardy–Orlicz spaces and products of holomorphic functions publication-title: Rev. Unión Mat. Argent. – volume: 348 start-page: 1 issue: 5 year: 2014 ident: 10.1016/j.jmaa.2014.06.018_br0010 article-title: Noncommutative Orlicz–Hardy spaces publication-title: Acta Math. Sci. – volume: 89 start-page: 578 year: 1967 ident: 10.1016/j.jmaa.2014.06.018_br0020 article-title: Analyticity in operator algebras publication-title: Amer. J. Math. doi: 10.2307/2373237 – volume: 360 start-page: 6131 year: 2008 ident: 10.1016/j.jmaa.2014.06.018_br0040 article-title: Applications of the Fuglede–Kadison determinant: Szegö's theorem and outers for noncommutative Hp publication-title: Trans. Amer. Math. Soc. doi: 10.1090/S0002-9947-08-04506-6 – start-page: 1459 year: 2003 ident: 10.1016/j.jmaa.2014.06.018_br0120 article-title: Noncommutative Lp-spaces doi: 10.1016/S1874-5849(03)80041-4 – volume: 73 start-page: 331 year: 2012 ident: 10.1016/j.jmaa.2014.06.018_br0140 article-title: Hankel operators on holomorphic Hardy–Orlicz spaces publication-title: Integral Equations Operator Theory doi: 10.1007/s00020-012-1974-8 – year: 2002 ident: 10.1016/j.jmaa.2014.06.018_br0130 – year: 1989 ident: 10.1016/j.jmaa.2014.06.018_br0100 – volume: 123 start-page: 269 year: 1986 ident: 10.1016/j.jmaa.2014.06.018_br0080 article-title: Generalized s-numbers of τ-measure operators publication-title: Pacific J. Math. doi: 10.2140/pjm.1986.123.269 – volume: 40 start-page: 339 year: 1998 ident: 10.1016/j.jmaa.2014.06.018_br0110 article-title: Noncommutative Hp-spaces publication-title: J. Operator Theory – volume: 109 start-page: 541 year: 1991 ident: 10.1016/j.jmaa.2014.06.018_br0150 article-title: Analytic functions with values in lattices and symmetric spaces of measurable operators publication-title: Math. Proc. Cambridge Philos. Soc. doi: 10.1017/S030500410006998X |
| SSID | ssj0011571 |
| Score | 2.1201196 |
| Snippet | In this paper, we first present several basic properties of growth functions, and then prove a Hölder type inequality on noncommutative Orlicz spaces... |
| SourceID | crossref elsevier |
| SourceType | Enrichment Source Index Database Publisher |
| StartPage | 824 |
| SubjectTerms | Growth function Hölder type inequalities Noncommutative Orlicz spaces Noncommutative Orlicz–Hardy spaces Szegö, Riesz type factorizations |
| Title | Noncommutative Orlicz–Hardy spaces associated with growth functions |
| URI | https://dx.doi.org/10.1016/j.jmaa.2014.06.018 |
| Volume | 420 |
| WOSCitedRecordID | wos000339455500052&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: Elsevier SD Freedom Collection Journals 2021 customDbUrl: eissn: 1096-0813 dateEnd: 20180131 omitProxy: false ssIdentifier: ssj0011571 issn: 0022-247X databaseCode: AIEXJ dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV27btswFCVcp0MzBH0ij7bQ0M1QQIqUSI5B4KItULdDCngTJJJK7ThK4DiGkSn_0D_sl-RSpB6JmyAZusi2YNG2zjHv5X0cIvSJGApmScehFiYOmWI8lIkowiwpTEJpbkghqs0m-GgkxmP5s9db1r0wyxkvS7FayfP_CjWcA7Bt6-wT4G4GhRPwHECHI8AOx0cBPzorle36WDhJ7x_z2URd1TUNtMrUD2AasZVYmcemLkE_hjU5PFhb18bx1j3X00bqtRIa8KomleprJx3eJpb05dysJk7fAF4c_zblpAkDmJOp3yHZNlTk5mQw2u-GIgjrlHW0rQER4-Pu9MoivMYjN1kK1z1d210X1Fyb0l10Ybo_Pc2sThRhld6qn7Rv6WffsWtNtWFdyDZN7RipHSO11XxEPEMbEY-l6KONg6_D8bcm_0RiTmqdefuDfLuVqwy8-03-7dJ03JSjl2jLoxQcOF68Qj1Tvkab3xvELt6g4W2GBI4hf6__VNwIHDeClhuB5UbguBE03HiLfn0eHh1-Cf1uGqGiHC_CWIMnCOt5oTGjTPM8kzjRkbKJ6YLlkoIvTsB-JUWGFfyzpaZKGVZIASsbmWj6DvXLs9Jso8BILYUmwiREMUNwjmWOM64jjjVNhNhBpL4hqfJS83bHk1l6PxQ7aNBcc-6EVh58d1zf59S7is4FTIE2D1y3-6RP2UMvWpq_R_3F_NJ8QM_VcjG5mH_0nLkB9hCM3w |
| linkProvider | Elsevier |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Noncommutative+Orlicz%E2%80%93Hardy+spaces+associated+with+growth+functions&rft.jtitle=Journal+of+mathematical+analysis+and+applications&rft.au=Abdurexit%2C+Abdugheni&rft.au=Bekjan%2C+Turdebek+N.&rft.date=2014-12-01&rft.issn=0022-247X&rft.volume=420&rft.issue=1&rft.spage=824&rft.epage=834&rft_id=info:doi/10.1016%2Fj.jmaa.2014.06.018&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_jmaa_2014_06_018 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0022-247X&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0022-247X&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0022-247X&client=summon |