Maximal theorems of Menchoff--Rademacher type in non-commutative \(L_{q}\)-spaces.

DOI10.1016/j.jfa.2002.07.001zbMath1069.46033OpenAlexW2061430952MaRDI QIDQ1423434

Marius Junge, Andreas Defant

Publication date: 14 February 2004

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2002.07.001

zbMATH Keywords

maximal functionunconditionally convergent sequencenon-commutative \(L_p\)-spaces

Mathematics Subject Classification ID

Noncommutative measure and integration (46L51) Noncommutative function spaces (46L52)

Related Items (20)

Algebraic Davis decomposition and asymmetric Doob inequalities ⋮ Strong factorization of operators on spaces of vector measure integrable functions and unconditional convergence of series ⋮ Noncommutative maximal ergodic inequalities associated with doubling conditions ⋮ Duality for symmetric Hardy spaces of noncommutative martingales ⋮ The noncommutative \(H^{(r,s)}_{p}({\mathcal A};\ell_{\infty})\) and \(H_{p}({\mathcal A};\ell_{1})\) spaces ⋮ Dominated convergence theorems in Haagerup noncommutative \(L_p\)-spaces ⋮ Wavelet approach to operator-valued Hardy spaces ⋮ On multiparameter weighted ergodic theorem for noncommutative \(L_p\)-spaces ⋮ Maximal ergodic inequalities for some positive operators on noncommutative Lp$L_p$‐spaces ⋮ Noncommutative vector-valued symmetric Hardy spaces ⋮ Atomic decompositions and asymmetric Doob inequalities in noncommutative symmetric spaces ⋮ Maximal theorems of Menchoff--Rademacher type in non-commutative \(L_{q}\)-spaces. ⋮ A noncommutative generalisation of a problem of Steinhaus ⋮ Maximal Inequalities of Noncommutative Martingale Transforms ⋮ Non-commutative ergodic averages of balls and spheres over Euclidean spaces ⋮ Noncommutative maximal inequalities associated with convex functions ⋮ Conditional expectation on non-commutative \(H^{(r,s)}_p(\mathcal{A};\ell_{\infty})\) and \(H_p(\mathcal{A};\ell_1)\) spaces: semifinite case ⋮ Noncommutative maximal ergodic theorems ⋮ Non-commutative HE(A;l∞) and HE(A;l1) spaces ⋮ Noncommutative Wiener–Wintner type ergodic theorems

Cites Work

• Strong limit theorems in non-commutative probability
• Strong limit theorems in noncommutative \(L_ 2\)-spaces
• Notes on non-commutative integration
• Maximal theorems of Menchoff--Rademacher type in non-commutative \(L_{q}\)-spaces.
• Generalized s-numbers of \(\tau\)-measurable operators
• A non-commutative extension of abstract integration
• Noncommutative Kothe Duality
• A Note on Unconditionally Converging Series in L p
• Unconditional convergence and almost everywhere convergence
• Doobs inequality for non-commutative martingales
• The main triangle projection in matrix spaces and its applications
• Theory of operator algebras I.
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