@book{AST_2014__362__R1_0, author = {Junge, Marius and Perrin, Mathilde}, title = {Theory of <span class="mathjax-formula">$\mathcal{H}_p$</span>-spaces for continuous filtrations in von {Neumann} algebras}, series = {Ast\'erisque}, publisher = {Soci\'et\'e math\'ematique de France}, number = {362}, year = {2014}, zbl = {1331.46002}, mrnumber = {3241706}, language = {en}, url = {http://archive.numdam.org/item/AST_2014__362__R1_0/} }
TY - BOOK AU - Junge, Marius AU - Perrin, Mathilde TI - Theory of <span class="mathjax-formula">$\mathcal{H}_p$</span>-spaces for continuous filtrations in von Neumann algebras T3 - Astérisque PY - 2014 DA - 2014/// IS - 362 PB - Société mathématique de France UR - http://archive.numdam.org/item/AST_2014__362__R1_0/ UR - https://zbmath.org/?q=an%3A1331.46002 UR - https://www.ams.org/mathscinet-getitem?mr=3241706 LA - en ID - AST_2014__362__R1_0 ER -
Junge, Marius; Perrin, Mathilde. Theory of $\mathcal{H}_p$-spaces for continuous filtrations in von Neumann algebras. Astérisque, no. 362 (2014), 140 p. http://numdam.org/item/AST_2014__362__R1_0/
[1] Quantum stopping times and quasi-left continuity, Ann. Inst. H. Poincaré Probab. Statist., t. 40 (2004), pp. 497-512. | Article | EuDML 77821 | Numdam | MR 2070336 | Zbl 1054.81025
& -[2] Atomic decomposition and interpolation for Hardy spaces of noncommutative martingales, Funct. Anal., t. 258 (2010), pp. 2483-2505. | Article | MR 2584751 | Zbl 1198.46047
, , & -[3] Interpolation Spaces. An introduction, Springer, New York, 1976. | MR 482275 | Zbl 0344.46071
& -[4] Martingale transforms, Ann. Math. Statist., t. 37 (1966), pp. 1494-1504. | Article | MR 208647 | Zbl 0306.60030
-[5] Distribution function inequalities for martingales, Ann. Probab., t. 1 (1973), pp. 19-42. | Article | MR 365692 | Zbl 0301.60035
,[6] Extrapolation and interpolation of quasi-linear operators on martingales, Acta Math., t. 124 (1970), pp. 249-304. | Article | MR 440695 | Zbl 0223.60021
& -[7] A real variable characterization of , Studia Math., t. 51 (1974), pp. 269-274. | Article | EuDML 217919 | MR 358318 | Zbl 0289.46037
-[8] On the integrability of the martingale square function, Israel J. Math., t. 8 (1970), pp. 187-190. | Article | MR 268966 | Zbl 0211.21902
-[9] Probabilités et potentiel, chapitres V à VIII. Théorie des martingales, Hermann, Paris, 1980. | MR 566768 | Zbl 0464.60001
& -[10] Generalized -numbers of -measurable operators, Pacific J. Math., t. 123 (1986), pp. 269-300. | Article | MR 840845 | Zbl 0617.46063
& -[11] Martingale inequalities: Seminar notes on recent progress, Math. Lecture Notes Series, W.A. Benjamin, Inc., Reading, Mass., London-Amsterdam, 1973. | MR 448538 | Zbl 0284.60046
-[12] Uniform ergodic theorems for identity preserving Schwartz maps on -algebras, J. Operator Theory, t. 11 (1984), pp. 395-404. | MR 749170 | Zbl 0551.46046
-[13] A decomposition for -bounded martingales, Ann. Math. Statist., t. 39 (1968), pp. 134-138. | Article | MR 221573 | Zbl 0185.45102
-[14] -spaces associated with an arbitrary von Neumann algebra, Algèbres d'opérateurs et leurs applications en physique mathématique (1979), pp.175-184. | MR 560633 | Zbl 0426.46045
-[15] Banach embedding properties of noncommutative -spaces, vol. 163, Amer. Math. Soc., 2003. | MR 1963854 | Zbl 1045.46039
, & -[16] Ultraproducts in Banach spaces theory, J. reine angew. Math., t. 313 (1980), pp. 72-104. | EuDML 152195 | MR 552464 | Zbl 0412.46017
-[17] The nonstandard theory of topological vector spaces, Trans. Amer. Math. Soc., t. 172 (1972), pp. 405-435. | Article | MR 308722 | Zbl 0254.46001
& -[18] Bounded mean oscillation and regulated martingales, Trans. Amer. Math. Soc., t. 193 (1974), pp. 199-215. | Article | MR 353447 | Zbl 0321.60041
-[19] -spaces of martingales, . Wahrscheinlichkeitstheorie und Verw. Gebiete, t. 28 (1974), pp. 189-205. | Zbl 0269.60040
,[20] Interpolation between -spaces, the complex method, J. Funct. Anal., t. 48 (1982), pp. 58-80. | Article | MR 671315 | Zbl 0507.46047
& -[21] Doob's inequality for non-commutative martingales, J. reine angew. Math., t. 549 (2002), pp. 149-190. | MR 1916654 | Zbl 1004.46043
-[22] Noncommutative Riesz transforms - A probabilistic approach, Amer. J. Math., t. 132 (2010), pp. 611-680. | Article | MR 2666903 | Zbl 1200.46056
& -[23] A noncommutative version of the John-Nirenberg theorem, Trans. Amer. Math. Soc., t. 59 (2007), pp. 115-142. | Article | MR 2247885 | Zbl 1173.46046
& -[24] Mixed-norm inequalities and operator space embedding theory, Mem. Amer. Math. Soc., vol. 203, Amer. Math. Soc., 2010. | MR 2589944 | Zbl 1220.46041
& -[25] Rosenthal type inequalities for free chaos, Ann. Probab., t. 35 (2007), pp. 1374-1437. | Article | MR 2330976 | Zbl 1125.46054
, & -[26] Noncommutative modules, J. Operator Theory, t. 53 (2005), pp. 3-34. | MR 2132686 | Zbl 1078.46046
& -[27] Noncommutative Burkholder-Rosenthal inequalities, Ann. Probab., t. 31 (2003), pp. 948-995. | Article | MR 1964955 | Zbl 1041.46050
& -[28] On the best constants in some non-commutative martingale inequalities, Bull. London Math. Soc., t. 37 (2005), pp. 243-253. | Article | MR 2119024 | Zbl 1088.46037
& ,[29] Noncommutative maximal ergodic theorems, J. Amer. Math. Soc., t. 20 (2007), pp. 385-439. | Article | MR 2276775 | Zbl 1116.46053
& ,[30] Noncommutative Burkholder-Rosenthal inequalities II. Applications, Israel J. Math., t. 167 (2008), pp. 227-282. | Article | MR 2448025 | Zbl 1217.46043
& ,[31] Fundamentals of the theory of operator algebras. Vol. I, Graduate Studies in Math., vol. 15, American Mathematical Society, Providence, RI, 1997 (Elementary theory, reprint of the 1983 original). | MR 1468229 | Zbl 0888.46039
& -[32] Inégalités de Khintchine dans , C. R. Acad. Sci. Paris, t. 303 (1986), pp. 289-292. | MR 859804 | Zbl 0592.47038
-[33] Non commutative Khintchine and Paley inequalities, Ark. Math., t. 29 (1991), pp. 241-260. | Article | MR 1150376 | Zbl 0755.47029
& -[34] Interpolation between noncommutative BMO and noncommutative -spaces, J. Funct. Anal., t. 202 (2003), pp. 195-225. | Article | MR 1994770 | Zbl 1042.46038
-[35] Weak type estimates associated to Burkholder's martingale inequality, Rev. Mat. Iberoam., t. 23 (2007), pp. 1011-1037. | Article | EuDML 43624 | MR 2414501 | Zbl 1155.46033
-[36] Gundy's decomposition for non-commutative martingales and applications, Proc. London Math. Soc. (3), t. 93 (2006), pp. 227-252. | Article | MR 2235948 | Zbl 1119.46049
& -[37] A noncommutative Davis' decomposition for martingales, J. Lond. Math. Soc., t. 80 (2009), pp. 627-648. | Article | MR 2559120 | Zbl 1225.46048
-[38] Non-commutative vector valued -spaces and completely -summing maps, Astérisque, t. 247 (1998). | Numdam | MR 1648908 | Zbl 0937.46056
-[39] An inequality for -orthogonal sums in non-commutative , Illinois J. Math., t. 44 (2000), pp. 901-923. | MR 1804311 | Zbl 0976.60016
,[40] Non-commutative martingale inequalities, Comm. Math. Phys., t. 189 (1997), pp. 667-698. | Article | Zbl 0898.46056
& -[41] Non-commutative -spaces, Handbook of the geometry of Banach spaces, vol. 2, North-Holland, Amsterdam, 2003. | Article | Zbl 1046.46048
,[42] Sur certains espaces de martingales localement de carré intégrable, Séminaire de Probabilités, X (seconde partie : théorie des intégrales stochastiques), 1974/1975, Univ. Strasbourg, Springer, Berlin, 1976. | EuDML 113085 | Numdam | Zbl 0339.60043
-[43] Kadec-Pelczynski decomposition for Haagerup -spaces, Math. Camb. Philos. Soc., t. 132 (2002), pp. 137-154. | Zbl 1037.46055
-[44] Non-commutative martingale transforms, J. Funct. Anal., t. 194 (2002), pp. 181-212. | Zbl 1030.46083
,[45] A weak type inequality for non-commutative martingales and applications, Proc. London Math. Soc. (3), t. 91 (2005), pp. 509-542. | Article | Zbl 1091.46040
,[46] Conditioned square functions for noncommutative martingales, Ann. Probab., t. 35 (2007), pp. 1039-1070. | Article | Zbl 1155.46034
,[47] Atomic and Davis decompositions for noncommutative martingales, Preprint.
& -[48] On ultrapowers of noncommutative spaces, J. Operator Theory, t. 48 (2002), pp. 41-68. | Zbl 1029.46102
-[49] On suspaces of non-commutative -spaces, J. Funct. Anal., t. 203 (2003), pp. 149-196. | Article | Zbl 1056.46056
& -[50] Khintchine type inequalities for reducer free products and applications, J. reine angew. Math., t. 599 (2006), pp. 27-59. | Zbl 1170.46052
& -[51] -algebras and -algebras, Springer-Verlag, 1971. | Zbl 1024.46001
-[52] Ultra-techniques in Banach space theory, Queen's Papers in Pure and Appl. Math., t. 60 (1982). | Zbl 0611.46019
-[53] Embedding of non-commutative -spaces, , Arch. Math., t. 80 (2003), pp. 151-164. | Article | Zbl 1030.46081
& -[54] Theory of operator algebras. I, Springer-Verlag, New York, 1979. | Article
-[55] Isometries of -spaces associated with semifinite von Neumann algebras, Trans. Amer. Math. Soc., t. 254 (1979), pp. 339-354. | Zbl 0408.46051
-[56] -spaces associated with von Neumann Algebras, Notes, Copenhagen University, 1981.
-[57] Symmetries of some reduced free product -algebras, Lecture Notes in Math., vol. 1132, 1985. | Zbl 0618.46048
-[58] Martingale Hardy spaces for , Probab. Theory Related Fields, t. 84 (1990), pp. 361-376. | Article | Zbl 0687.60046
-[59] Martingale Hardy Spaces and their Applications in Fourier Analysis, Lecture Notes in Math., vol. 1568, Springer-Verlag, Berlin, 1994. | Zbl 0796.60049
,[60] A note on interpolation space, Lecture Notes in Math., vol. 908, Springer-Verlag, Berlin, 1982. | Zbl 0517.46054
-[61] Some results related to interpolation on Hardy spaces of regular martingales, Israel J. Math., t. 91 (1995), pp. 173-187. | Article | Zbl 0833.46024
-[62] Noncommutative -spaces and martingale inequalities, Book manuscript, 2007.
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