Martingale Transforms with Unbounded Multipliers

DOI10.2307/2159413zbMath0746.60050OpenAlexW4235850877MaRDI QIDQ3987630

Ruilin Long, Jia-Arng Chao

Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2159413

zbMATH Keywords

Hardy spacesextrapolationquadratic variationmartingale transformsconditional quadratic variation\(BMO\) spaces

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) (H^p)-spaces (42B30) Martingales and classical analysis (60G46)

Related Items (11)

Hardy spaces of predictable martingales ⋮ Martingale transforms between Hardy-Lorentz spaces ⋮ Interchange between Hardy-Lorentz spaces of predictable martingales ⋮ Two-dimensional martingale transforms and their applications in summability of Walsh-Fourier series ⋮ Products and commutators of martingales in \(H_1\) and BMO ⋮ Martingale transforms and Hardy spaces ⋮ Convergence of ergodic-martingale paraproducts ⋮ Interpolation methods for stochastic processes spaces ⋮ Variational estimates for martingale paraproducts ⋮ Burkholder-Gundy-Davis inequality in martingale Hardy spaces with variable exponent ⋮ Martingale transforms between Orlicz-Hardy spaces of predictable martingales

Cites Work

• Unnamed Item
• Stochastic integration and \(L^ p-\)theory of semimartingales
• Distribution function inequalities for martingales
• On the integrability of the martingale square function
• Extrapolation and interpolation of quasi-linear operators on martingales
• Paraproducts and Commutators of Martingale Transforms
• Martingale Transforms
• A Decomposition for $L^1$-Bounded Martingales
• H p -spaces of martingales, 0<p?1

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