The behavior of the bounds of matrix-valued maximal inequality in \(\mathbb{R}^{n}\) for large \(n\)
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Publication:470865
zbMath1311.42050arXiv1411.1245MaRDI QIDQ470865
Publication date: 13 November 2014
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1411.1245
matrix-valued maximal functionsvector-valued noncommutative \(L^p\)-spacesweak type \((1, 1)\) bound
Related Items (3)
Noncommutative pointwise convergence of orthogonal expansions of several variables ⋮ Weak boundedness of operator-valued Bochner-Riesz means for the Dunkl transform ⋮ Non-commutative ergodic averages of balls and spheres over Euclidean spaces
Cites Work
- Harmonic analysis on quantum tori
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- Random martingales and localization of maximal inequalities
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- Pointwise ergodic theorems for radial averages on the Heisenberg group
- Interpolation between non-commutative BMO and non-commutative \(L_{p}\)-spaces.
- On the \(L^ p\)-bounds for maximal functions associated to convex bodies in \({\mathbb{R}}^ n\)
- Wavelet approach to operator-valued Hardy spaces
- The development of square functions in the work of A. Zygmund
- Noncommutative maximal ergodic theorems
- Pseudo-Localization of Singular Integrals and Noncommutative Littlewood–Paley Inequalities
- An almost-orthogonality principle with applications to maximal functions associated to convex bodies
- On High Dimensional Maximal Functions Associated to Convex Bodies
- Differentiation Theorem for Gaussian Measures on Hilbert Space
- Ergodic Theorems for Semifinite Von Neumann Algebras-I
- Doobs inequality for non-commutative martingales
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