SZEG TYPE FACTORIZATION THEOREM FOR NONCOMMUTATIVE HARDY-LORENTZ SPACES 被引量：4

SZEG TYPE FACTORIZATION THEOREM FOR NONCOMMUTATIVE HARDY-LORENTZ SPACES

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摘要 We introduce noncommutative Hardy-Lorentz spaces and give the Szeg and inner-outer type factorizations of these spaces. We introduce noncommutative Hardy-Lorentz spaces and give the Szegō and inner-outer type factorizations of these spaces.

作者邵晶晶韩亚洲

机构地区 College of Mathematics and System Sciences

出处《Acta Mathematica Scientia》 SCIE CSCD 2013年第6期1675-1684,共10页 数学物理学报（B辑英文版）

基金 Partially supported by NSFC(11071204) XJUBSCX-2012002

关键词 subdiagonal algebras noncommutative Hardy-Lorentz spaces Szeg factorization outer operators subdiagonal algebras noncommutative Hardy-Lorentz spaces Szegō factor-ization outer operators

分类号 O177.2 [理学—基础数学]

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参考文献19

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同被引文献2

1韩亚洲,Turdebek N. Bekjan.THE DUAL OF NONCOMMUTATIVE LORENTZ SPACES[J].Acta Mathematica Scientia,2011,31(5):2067-2080. 被引量：3
2JI GuoXing.Analytic Toeplitz algebras and the Hilbert transform associated with a subdiagonal algebra[J].Science China Mathematics,2014,57(3):579-588. 被引量：2

引证文献4

1阿布都艾尼.阿不都热西提,吐尔德别克.NONCOMMUTATIVE ORLICZ-HARDY SPACES[J].Acta Mathematica Scientia,2014,34(5):1584-1592. 被引量：1
2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.
3吐尔德别克.SZEG TYPE FACTORIZATION OF HAAGERUP NONCOMMUTATIVE HARDY SPACES[J].Acta Mathematica Scientia,2017,37(5):1221-1229.
4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.

二级引证文献1

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.

1LI HongLiang.Hardy-type inequalities on strong and weak Orlicz-Lorentz spaces[J].Science China Mathematics,2012,55(12):2493-2505. 被引量：3
2阿布都艾尼.阿不都热西提,吐尔德别克.NONCOMMUTATIVE ORLICZ-HARDY SPACES[J].Acta Mathematica Scientia,2014,34(5):1584-1592. 被引量：1
3韩亚洲,Turdebek N. Bekjan.THE DUAL OF NONCOMMUTATIVE LORENTZ SPACES[J].Acta Mathematica Scientia,2011,31(5):2067-2080. 被引量：3
4任颜波,郭铁信.WEAK ATOMIC DECOMPOSITIONS OF MARTINGALE HARDY-LORENTZ SPACES AND APPLICATIONS[J].Acta Mathematica Scientia,2012,32(3):1157-1166. 被引量：2
5I-Iuanyin Chen,H. Kose.Factorizations of Matrices over Projective-free Rings[J].Algebra Colloquium,2016,23(1):23-32.
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10马润年,高行山.ON(g,f)-FACTORIZATIONS OF GRAPHS[J].Applied Mathematics and Mechanics(English Edition),1997,18(4):407-410. 被引量：1

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SZEG TYPE FACTORIZATION THEOREM FOR NONCOMMUTATIVE HARDY-LORENTZ SPACES 被引量：4

参考文献19

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