@book{AST_2014__362__R1_0, author = {Junge, Marius and Perrin, Mathilde}, title = {Theory of $\mathcal{H}_p$-spaces for continuous filtrations in von {Neumann} algebras}, series = {Ast\'erisque}, publisher = {Soci\'et\'e math\'ematique de France}, number = {362}, year = {2014}, mrnumber = {3241706}, zbl = {1331.46002}, language = {en}, url = {http://www.numdam.org/item/AST_2014__362__R1_0/} }
TY - BOOK AU - Junge, Marius AU - Perrin, Mathilde TI - Theory of $\mathcal{H}_p$-spaces for continuous filtrations in von Neumann algebras T3 - Astérisque PY - 2014 IS - 362 PB - Société mathématique de France UR - http://www.numdam.org/item/AST_2014__362__R1_0/ 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. | MR | Zbl | EuDML | Numdam | DOI
& -[2] Atomic decomposition and interpolation for Hardy spaces of noncommutative martingales, Funct. Anal., t. 258 (2010), pp. 2483-2505. | MR | Zbl | DOI
, , & -[3] Interpolation Spaces. An introduction, Springer, New York, 1976. | MR | Zbl
& -[4] Martingale transforms, Ann. Math. Statist., t. 37 (1966), pp. 1494-1504. | MR | Zbl | DOI
-[5] Distribution function inequalities for martingales, Ann. Probab., t. 1 (1973), pp. 19-42. | MR | Zbl | DOI
,[6] Extrapolation and interpolation of quasi-linear operators on martingales, Acta Math., t. 124 (1970), pp. 249-304. | MR | Zbl | DOI
& -[7] A real variable characterization of , Studia Math., t. 51 (1974), pp. 269-274. | MR | Zbl | EuDML | DOI
-[8] On the integrability of the martingale square function, Israel J. Math., t. 8 (1970), pp. 187-190. | Zbl | MR | DOI
-[9] Probabilités et potentiel, chapitres V à VIII. Théorie des martingales, Hermann, Paris, 1980. | MR | Zbl
& -[10] Generalized -numbers of -measurable operators, Pacific J. Math., t. 123 (1986), pp. 269-300. | MR | Zbl | DOI
& -[11] Martingale inequalities: Seminar notes on recent progress, Math. Lecture Notes Series, W.A. Benjamin, Inc., Reading, Mass., London-Amsterdam, 1973. | MR | Zbl
-[12] Uniform ergodic theorems for identity preserving Schwartz maps on -algebras, J. Operator Theory, t. 11 (1984), pp. 395-404. | Zbl | MR
-[13] A decomposition for -bounded martingales, Ann. Math. Statist., t. 39 (1968), pp. 134-138. | MR | Zbl | DOI
-[14] -spaces associated with an arbitrary von Neumann algebra, Algèbres d'opérateurs et leurs applications en physique mathématique (1979), pp.175-184. | MR | Zbl
-[15] Banach embedding properties of noncommutative -spaces, vol. 163, Amer. Math. Soc., 2003. | MR | Zbl
, & -[16] Ultraproducts in Banach spaces theory, J. reine angew. Math., t. 313 (1980), pp. 72-104. | MR | Zbl | EuDML
-[17] The nonstandard theory of topological vector spaces, Trans. Amer. Math. Soc., t. 172 (1972), pp. 405-435. | MR | Zbl | DOI
& -[18] Bounded mean oscillation and regulated martingales, Trans. Amer. Math. Soc., t. 193 (1974), pp. 199-215. | MR | Zbl | DOI
-[19] -spaces of martingales, . Wahrscheinlichkeitstheorie und Verw. Gebiete, t. 28 (1974), pp. 189-205. | Zbl
,[20] Interpolation between -spaces, the complex method, J. Funct. Anal., t. 48 (1982), pp. 58-80. | MR | Zbl | DOI
& -[21] Doob's inequality for non-commutative martingales, J. reine angew. Math., t. 549 (2002), pp. 149-190. | MR | Zbl
-[22] Noncommutative Riesz transforms - A probabilistic approach, Amer. J. Math., t. 132 (2010), pp. 611-680. | MR | Zbl | DOI
& -[23] A noncommutative version of the John-Nirenberg theorem, Trans. Amer. Math. Soc., t. 59 (2007), pp. 115-142. | MR | Zbl | DOI
& -[24] Mixed-norm inequalities and operator space embedding theory, Mem. Amer. Math. Soc., vol. 203, Amer. Math. Soc., 2010. | MR | Zbl
& -[25] Rosenthal type inequalities for free chaos, Ann. Probab., t. 35 (2007), pp. 1374-1437. | MR | Zbl | DOI
, & -[26] Noncommutative modules, J. Operator Theory, t. 53 (2005), pp. 3-34. | MR | Zbl
& -[27] Noncommutative Burkholder-Rosenthal inequalities, Ann. Probab., t. 31 (2003), pp. 948-995. | MR | Zbl | DOI
& -[28] On the best constants in some non-commutative martingale inequalities, Bull. London Math. Soc., t. 37 (2005), pp. 243-253. | MR | Zbl | DOI
& ,[29] Noncommutative maximal ergodic theorems, J. Amer. Math. Soc., t. 20 (2007), pp. 385-439. | MR | Zbl | DOI
& ,[30] Noncommutative Burkholder-Rosenthal inequalities II. Applications, Israel J. Math., t. 167 (2008), pp. 227-282. | MR | Zbl | DOI
& ,[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 | Zbl
& -[32] Inégalités de Khintchine dans , C. R. Acad. Sci. Paris, t. 303 (1986), pp. 289-292. | MR | Zbl
-[33] Non commutative Khintchine and Paley inequalities, Ark. Math., t. 29 (1991), pp. 241-260. | MR | Zbl | DOI
& -[34] Interpolation between noncommutative BMO and noncommutative -spaces, J. Funct. Anal., t. 202 (2003), pp. 195-225. | MR | Zbl | DOI
-[35] Weak type estimates associated to Burkholder's martingale inequality, Rev. Mat. Iberoam., t. 23 (2007), pp. 1011-1037. | MR | Zbl | EuDML | DOI
-[36] Gundy's decomposition for non-commutative martingales and applications, Proc. London Math. Soc. (3), t. 93 (2006), pp. 227-252. | MR | Zbl | DOI
& -[37] A noncommutative Davis' decomposition for martingales, J. Lond. Math. Soc., t. 80 (2009), pp. 627-648. | MR | Zbl | DOI
-[38] Non-commutative vector valued -spaces and completely -summing maps, Astérisque, t. 247 (1998). | MR | Zbl | Numdam
-[39] An inequality for -orthogonal sums in non-commutative , Illinois J. Math., t. 44 (2000), pp. 901-923. | MR | Zbl
,[40] Non-commutative martingale inequalities, Comm. Math. Phys., t. 189 (1997), pp. 667-698. | Zbl | DOI
& -[41] Non-commutative -spaces, Handbook of the geometry of Banach spaces, vol. 2, North-Holland, Amsterdam, 2003. | Zbl | DOI
,[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. | Zbl | Numdam | EuDML
-[43] Kadec-Pelczynski decomposition for Haagerup -spaces, Math. Camb. Philos. Soc., t. 132 (2002), pp. 137-154. | Zbl
-[44] Non-commutative martingale transforms, J. Funct. Anal., t. 194 (2002), pp. 181-212. | Zbl
,[45] A weak type inequality for non-commutative martingales and applications, Proc. London Math. Soc. (3), t. 91 (2005), pp. 509-542. | Zbl | DOI
,[46] Conditioned square functions for noncommutative martingales, Ann. Probab., t. 35 (2007), pp. 1039-1070. | Zbl | DOI
,[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
-[49] On suspaces of non-commutative -spaces, J. Funct. Anal., t. 203 (2003), pp. 149-196. | Zbl | DOI
& -[50] Khintchine type inequalities for reducer free products and applications, J. reine angew. Math., t. 599 (2006), pp. 27-59. | Zbl
& -[51] -algebras and -algebras, Springer-Verlag, 1971. | Zbl
-[52] Ultra-techniques in Banach space theory, Queen's Papers in Pure and Appl. Math., t. 60 (1982). | Zbl
-[53] Embedding of non-commutative -spaces, , Arch. Math., t. 80 (2003), pp. 151-164. | Zbl | DOI
& -[54] Theory of operator algebras. I, Springer-Verlag, New York, 1979. | DOI
-[55] Isometries of -spaces associated with semifinite von Neumann algebras, Trans. Amer. Math. Soc., t. 254 (1979), pp. 339-354. | Zbl
-[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
-[58] Martingale Hardy spaces for , Probab. Theory Related Fields, t. 84 (1990), pp. 361-376. | Zbl | DOI
-[59] Martingale Hardy Spaces and their Applications in Fourier Analysis, Lecture Notes in Math., vol. 1568, Springer-Verlag, Berlin, 1994. | Zbl
,[60] A note on interpolation space, Lecture Notes in Math., vol. 908, Springer-Verlag, Berlin, 1982. | Zbl
-[61] Some results related to interpolation on Hardy spaces of regular martingales, Israel J. Math., t. 91 (1995), pp. 173-187. | Zbl | DOI
-[62] Noncommutative -spaces and martingale inequalities, Book manuscript, 2007.
,