Duality for symmetric Hardy spaces of noncommutative martingales

DOI10.1007/s00209-017-1974-0zbMath1403.46051arXiv1510.03967OpenAlexW2962893342MaRDI QIDQ1668430

Peng Zhang, Turdebek N. Bekjan

Publication date: 28 August 2018

Published in: Mathematische Zeitschrift, Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.03967

zbMATH Keywords

noncommutative martingaleouter operatorsnoncommutative Hardy spacesnoncommutative symmetric spacessubdiagonal subalgebrasRiesz factorizationBurkholder-Rosenthal inequalitiesSzegő-type factorization

Mathematics Subject Classification ID

Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Noncommutative function spaces (46L52)

Related Items (22)

Noncommutative Calderón-Lozanovskiĭ-Hardy spaces ⋮ On products of noncommutative symmetric quasi Banach spaces and applications ⋮ Noncommutative Hardy-Lorentz spaces associated with semifinite subdiagonal algebras ⋮ Factorization properties of subdiagonal algebras ⋮ A Beurling-Blecher-Labuschagne type theorem for Haagerup noncommutative \(L^p\) spaces ⋮ On interpolation of noncommutative symmetric Hardy spaces ⋮ The noncommutative \(H^{(r,s)}_{p}({\mathcal A};\ell_{\infty})\) and \(H_{p}({\mathcal A};\ell_{1})\) spaces ⋮ A generalized arithmetic-geometric mean-type inequality of measurable operator ⋮ Duality and interpolation for symmetric Banach spaces of noncommutative quasi-martingales ⋮ The generalized Banach sequence spaces and their dual spaces based on permutation symmetric gauge norms ⋮ Characterization of subdiagonal algebras on noncommutative Calderón-Lozanovskiĭ spaces ⋮ John-Nirenberg inequalities for noncommutative column BMO and Lipschitz martingales ⋮ Noncommutative martingale Hardy-Orlicz spaces: dualities and inequalities ⋮ Noncommutative vector-valued symmetric Hardy spaces ⋮ Noncommutative Burkholder/Rosenthal inequalities with maximal diagonals ⋮ Atomic decompositions and asymmetric Doob inequalities in noncommutative symmetric spaces ⋮ A Beurling-Blecher-Labuschagne theorem for noncommutative Hardy spaces associated with semifinite von Neumann algebras ⋮ On noncommutative weak Orlicz-Hardy spaces ⋮ Noncommutative Yosida-Hewitt theorem in noncommutative Calderón-Lozanovskiĭ spaces ⋮ Conditional expectation on non-commutative \(H^{(r,s)}_p(\mathcal{A};\ell_{\infty})\) and \(H_p(\mathcal{A};\ell_1)\) spaces: semifinite case ⋮ Interpolation and the John–Nirenberg inequality on symmetric spaces of noncommutative martingales ⋮ Non-commutative HE(A;l∞) and HE(A;l1) spaces

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