[1]  Arveson W B. Analyticity in operator algebras. Amer J Math, 1967, 89:  578--642

[2]  Attal S, Coquio A. Quantum stopping times and quasi-left continuity. Ann Inst H Poincar\'{e} Probab Statist, 2004, 40: 497--512

[3]  Bekjan T N. Φ-inequalities of non-commutative martingales. Rocky Mountain J Math, 2006, 36: 401--412

[4]  Bekjan T N. Noncommutative maximal ergodic theorems for positive contractions. J Funct Anal, 2008, 254:  2401--2418

[5]  Bekjan T N, Chen Z. Interpolation and Φ-moment inequalities of noncommutative martingales. 2010, arXiv: 1002.3670

[6]  Bekjan T N, Chen Z, Perrin M, Yin Z. Atomic decomposition and interpolation for Hardy spaces of noncommutative martingales. J Funct Anal, 2010, 258:  2483--2505

[7]  Bekjan T N,  Xu Q. Riesz and Szeg\"{o} type factorizations for noncommutative Hardy spaces. J Oper Theory, 2009, 62(1):  101--117

[8]  Blecher D P, Labuschagne L E. Characterizations of noncommutative H^∞. Integr Equ Oper Theory, 2006, 56:  301--321

[9]  Blecher D P, Labuschagne  L E. Noncommutative function theory and unique extensions. Studia Math, 2007, 178:  177--195

[10]  Blecher D P, Labuschagne L E. von Neumann algebraic H_p theory. Contemp Math, 2007, 435:  89--114

[11]  Blecher D P, Labuschagne L E. A Beurling theorem for noncommutative L^p. J Oper Theory, 2008, 59(1):  29--51

[12]  Blecher D P, Labuschagne L E. Applications of the Fuglede-Kadison determinant: Szeg\"{o}'s theorem and outers for noncommutative H^p. 
Trans Amer Math Soc, 2008, 360(11):  6131--6147

[13]  B\"{o}ttcher A, Silbermann B. Analysis of Toeplitz Operators, Second edition. Berlin: Springer-Verlag, 2006

[14]  Chen Z. Hardy spaces of operator-valued analytic functions. Illinois J Math, 2009, 53(1):  303--324

[15]  Cuculescu I. Martingales on von Neumann algebras. J Multivariate  Anal, 1971, 1:  17--27

[16]  Exel R. Maximal subdiagonal algebras.  Amer J Math, 1988, 110:  775--782

[17]  Fuglede B, Kadison R V. Determinant theory in finite factors. Ann Math, 1952, 55:  520--530

[18]  Garnett J B. Bounded Analytic Functions. Revised First Edition, Graduate Texts in Mathematics 236. New York: Springer, 2007

[19]  Helson H, Lowdenslager D. Prediction theory and Fourier series in several variables. Acta Math, 1961, 106:  175--213

[20]  Hoffman K. Analytic functions and logmodular Banach algebras. Acta Math, 1962, 108:  271--317

[21]  Hoffman K, Rossi H. Function theory and multiplicative linear functionals. Trans Amer Math Soc, 1965, 116:  536--543

[22]  Junge M. Doob's inequality for non-commutative martingales. J Reine Angew Math, 2002, 549:  149--190

[23]  Junge M, Xu Q. Noncommutative Burkholder/Rosenthal inequalities. Ann Probab, 2003, 31: 948--995

[24]  Junge M, Xu Q. On the best constants in some noncommutative martingale inequalities. Bull London Math Soc, 2005, 37: 243--253

[25]  Junge M, Xu Q. Noncommutative maximal ergodic theorems. J Amer Math Soc, 2007, 20: 385--439

[26]  Junge M, Xu Q. Noncommutative Burkholder/Rosenthal inequalities II: Applications. Israel J Math, 2008, 167:  227--282

[27]  Labuschagne L E. Analogues of composition operators on non-commutative H^p-spaces. J Operator Theory, 2003, 49:  115--141

[28]  Labuschagne L E. A noncommutative Szeg\"{o} theorem for subdiagonal subalgebras of von Neumann algebras. Proc Amer Math Soc,  2005, 133:  3643--3646

[29]  李国平,  蹇明. 算子函数论. 武汉: 武汉大学出版社, 1996

[30]  刘培德. 鞅与Banach 空间几何学. 现代数学基础丛书.  北京: 科学出版社, 2007

[31]  Lust-Piquard F. Inégalites de Khintchine dans c_p,(1<p<∞). C R Acad Sci Paris, 1986, 303:  289--292

[32]  Lust-Piquard F, Pisier G. Noncommutative Khintchine and Paley inequalities. Arkiv f\"{o}r Mat, 1991, 29:  241--260

[33]  Marsalli M, West G. Noncommutative H^p spaces. J Operator Theory, 1998, 40:  339--355

[34]  Marsalli M, West G. The dual of noncommutative H¹. Indiana Univ Math J, 1998, 47:  489--500

[35]  Marsalli M, West G. Toeplitz operators with noncommutative symbols. Integr Equ Oper Theory, 1998, 32:  65--74

[36]  Mei T. Operator-valued Hardy spaces. Memoir Amer Math Soc, 2007, 188: vi+66

[37]  von Neumann J. Mathematical Foundations of Quantum Mechanics. Princeton: Princeton University Press, 1955

[38]  Parcet J, Randrianantoanina N. Gundy's decomposition for noncommutative martingales and applications. Proc London Math Soc, 2006,  93(3):  227--252

[39]  Perrin M. A noncommutative Davis' decomposition for martingales. J London Math Soc, 2009, 80(2):  627--648

[40]  Pisier G,  Xu Q. Non-commutative martingale inequalities. Commun Math Phys, 1997, 189:  667--698

[41]  Pisier G, Xu Q. Noncommutative L^p-spaces, in: Handbook of the Geometry of Banach Spaces. Johnson W B, Lindenstrauss J, ed. 
Amsterdam: North-Holland, 2003: 1459--1517

[42]  Randrianantoanina N. Non-commutative martingale transforms. J Funct Anal, 2002, 194:  181--212

[43]  Randrianantoanina N. A weak-type inequality for non-commutative martingales and applications. Proc London Math Soc, 2005, 91(3):  509--544

[44]  Randrianantoanina N. Conditional square functions for noncommutative martingales. Ann Proba, 2007, 35:  1039--1070

[45]  Rosenblum M, Rovnyak J. Hardy Classes and Operator Theory. New York: Oxford University Press, 1985

[46]  Weisz F. Martingale Hardy Spaces and Their Applications in Fourier Analysis. Lecture Notes in Math. Berlin: Springer-Verlag, 1994

[47]  Saito K S. A note on invariant subspaces for finite maximal subdiagonal algebras. Proc Amer Math Soc, 1979, 77:  348--352

[48]  Srinivasan T P, Wang J K. Weak*-Dirichlet Algebras. Function Algebras. Scott Foresman and Co., 1966: 216--249

[49]  Xu Q. Recent development on non-commutative martingale inequalities. Proceedings of international conference on functional space theory and its applications (Wuhan, 2003), Research Information Ltd UK, 2004: 283--313

[50]  Xu Q. On the maximality of subdiagonal algebras. J Operator Theory, 2005, 54:  137--146

[51]  Xu Q. Noncommutative L^p-Spaces and Martingale Inequalities. Book Manuscript, 2007

[52]  许全华, 吐尔德别克, 陈泽乾. 算子代数与非交换L^p 空间引论.  现代数学基础丛书. 北京: 科学出版社, 2010