NONCOMMUTATIVE ORLICZ-HARDY SPACES 被引量：2

NONCOMMUTATIVE ORLICZ-HARDY SPACES

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摘要 Let （Φ,Ψ） be a pair of complementary N-functions and HΦ（A） and HΨ（A） be the associated noncommutative Orlicz-Hardy spaces. We extend the Riesz, Szeg＆#168;o and inner-outer type factorization theorems of Hp（A） to this case. Let （Φ,Ψ） be a pair of complementary N-functions and HΦ（A） and HΨ（A） be the associated noncommutative Orlicz-Hardy spaces. We extend the Riesz, Szeg＆#168;o and inner-outer type factorization theorems of Hp（A） to this case.

作者阿布都艾尼.阿不都热西提吐尔德别克

机构地区 College of Mathematics and System Sciences

出处《Acta Mathematica Scientia》 SCIE CSCD 2014年第5期1584-1592,共9页 数学物理学报（B辑英文版）

基金 partly supported by NSFC(11071204)

关键词 noncommutative Orlicz spaces noncommutative Orlicz-Hardy spaces Riesztype factorization Szego type factorization outer operators noncommutative Orlicz spaces noncommutative Orlicz-Hardy spaces Riesztype factorization Szego type factorization outer operators

分类号 O177 [理学—基础数学]

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参考文献1

1邵晶晶,韩亚洲.SZEG TYPE FACTORIZATION THEOREM FOR NONCOMMUTATIVE HARDY-LORENTZ SPACES[J].Acta Mathematica Scientia,2013,33(6):1675-1684. 被引量：5

二级参考文献19

1Arveson W B. Analyticity in operator algebras. Amer J Math, 1967, 89:578 642.
2Blecher D P, Labuschagne L E. Applications of the Puglede-Kadison determinant: Szeg6 theorem and outers for noncommutative Hp. Trans Amer Math Soc, 2008, 360:6131-6147.
3Brown L G. Lidskii's theorem in the type II ease//Geometric Methods in Operator Algebras (Kyoto 1983).Pitman Res Notes Math Ser, Vol 123. Harlow: Longmam Sei Tech, 1986:1 35.
4Bekjan N, Xu Q. Riesz and Szeg5 type factorizations for noncommutative Hardy spaces. J Oper Theory, 2009, 62(1): 215-231.
5Fack T, Kosaki H. Generalized s-numbers of T-measurable operators. Pacific J Math 1986, 123:269 300.
6Fuglede B, Kadison R V. Determinant theory in finite factors. Ann Math, 1952, 55:520-530.
7Hunt R A. On L(p,q) spaces. L'Enseignement Math, 1966, 12:249-276.
8Han Yazhou, Bekjan T N. The dual of noncommutataive Lorentz spaces. Acta Math Sei, 2011, 31B(6): 2067 2O80.
9Helson H, Lowdenslager D. Prediction theory and Fourier series in several variables. I. Acta Math, 1958, 99:165 202.
10Haagerup U, Schultz H. Brown measures of unbounded operators affiliated with a finite yon Neumann algebra. Math Scand, 2007, 100:209 263.

共引文献4

1阿尔胜.托合达森,吐尔德别克.非交换Lorentz空间的遍历定理（英文）[J].新疆大学学报（自然科学版）,2015,32(2):151-156.
2吐尔德别克.SZEG TYPE FACTORIZATION OF HAAGERUP NONCOMMUTATIVE HARDY SPACES[J].Acta Mathematica Scientia,2017,37(5):1221-1229.
3吐尔德·别克,Kordan NOSPANOV.COMPLEX INTERPOLATION OF NONCOMMUTATIVE HARDY SPACES ASSOCIATED WITH SEMIFINITE VON NEUMANN ALGEBRAS[J].Acta Mathematica Scientia,2020,40(1):245-260.
4张乃月,贺鑫.非交换Hardy-Orlicz-Lorentz空间的Szegö型分解定理[J].数学进展,2024,53(3):611-618.

同被引文献16

1Arveson W B. Analyticity in operator algebras[J]. Amer J Math, 1967, 89:578-642.
2Bekjan T N, Xu Q. Riesz and Szeg6 type factorizations for noncommutative Hardy spaces[J]. J Oper Theory, 2009, 62(1): 215 - 231.
3Abdurexit A, Bekjan T. Noncommutative Orlicz-Hardy spaces associated with growth functions[J]. J Math Anal Appl, 2014,420:824-834.
4Blecher D P, Labuschagne L E. Characterizations of noncommutative H"J]. Integr Equ Oper Theory, 2006, 56:301-321.
5Marsalli M. Noncommutative H2-spaces[J]. Pro Amer Math Soc, 1997, 125:779-784.
6Marsalli M, West G. Noncommutative HP-spaces[J]. J Operator Theory, 1997, 40:339-355.
7Ji G,Saito K S. Factorization in Sundiagonal Algebras[J]. J Funct Anal, 1998, 159:191-202.
8Blecher D P, Labuschagne L E. A Beurling theorem for noncommutative Lp spaces[J]. J Oper Theory, 2008, 59:29-51.
9Saito K S. A note on invariant subspaces for maximal subdiagonal algebras[J]. Proc Amer Math Soc, 1979, 77:349-352.
10Labuschagne L E. A noncommutative Szeg6 theorem for subdiagonal subalgebras of von Neumann algebras[J]. Proc Amer Math Soc 2005,133:3643 - 3646.

引证文献2

1阿布都艾尼.阿布都热西提.关于非交换Orlicz空间的对角子代数（英文）[J].新疆大学学报（自然科学版）,2014,31(4):411-414.
2张乃月,贺鑫.非交换Hardy-Orlicz-Lorentz空间的Szegö型分解定理[J].数学进展,2024,53(3):611-618.

1Pin Hong LONG,Shi Meng XU,Chuan Qing XU.Nevanlinna Class and Its Integral Representation or Factorization Theorem in Sector and Angular Domain[J].Journal of Mathematical Research and Exposition,2010,30(5):808-816.
2CHENGQIYUAN,DONGYUXIN.ON FACTORIZATION THEOREMS OF PLURIHARMONIC MAPS INTO THE UNITARY GROUP[J].Chinese Annals of Mathematics,Series B,1997,18(3):323-330. 被引量：1
3邵晶晶,韩亚洲.SZEG TYPE FACTORIZATION THEOREM FOR NONCOMMUTATIVE HARDY-LORENTZ SPACES[J].Acta Mathematica Scientia,2013,33(6):1675-1684. 被引量：5
4程乾生.MULTIDIMENSIONAL ALL-PASS FILTERS AND MINIMUM-PHASE FILTERS[J].Chinese Science Bulletin,1983,28(5):588-591.
5Zuo Hong-liang,Liu Pei-de.The Reverse Holder Classes in Martingale Setting[J].Wuhan University Journal of Natural Sciences,2004,9(3):273-277.
6YANZhan-Yuan,DUANChun-Gui,LIGuang-Lie.ηc Diffractive Production in the Direct Photon Process[J].Communications in Theoretical Physics,2003,40(4X):457-460.

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