Commutators on dyadic martingales

DOI10.3792/pjaa.61.35zbMath0596.47024OpenAlexW2021427995MaRDI QIDQ1078496

Hitoshi Ombe, Jia-Arng Chao

Publication date: 1985

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.61.35

zbMATH Keywords

Lipschitz spacesfractional integralcommutatormartingale transform\(H^ p\) martingales

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Commutators, derivations, elementary operators, etc. (47B47) Linear operators on function spaces (general) (47B38) Martingales and classical analysis (60G46)

Related Items (23)

The boundedness of Doob's maximal and fractional integral operators for generalized grand Morrey-martingale spaces ⋮ Atomic decomposition of predictable martingale Hardy space with variable exponents ⋮ Fractional integration for irregular martingales ⋮ Martingale inequalities and fractional integral operator in variable Hardy-Lorentz spaces ⋮ Grand martingale Hardy spaces for \(0<p \leq 1\) ⋮ Martingale transforms between martingale Hardy-Amalgam spaces ⋮ Fractional integral on martingale Hardy spaces with variable exponents ⋮ Products and commutators of martingales in \(H_1\) and BMO ⋮ Variable Hardy–Lorentz martingale spaces Hp(·),q(·)$\mathcal {H}_{p(\cdot ),q(\cdot )}$ ⋮ Atomic decompositions for noncommutative martingales ⋮ Martingale Morrey-Campanato spaces and fractional integrals ⋮ Martingale Morrey-Hardy and Campanato-Hardy spaces ⋮ Martingale transforms and fractional integrals on rearrangement-invariant martingale Hardy spaces ⋮ Maximal Inequalities of Noncommutative Martingale Transforms ⋮ Dual spaces of weak martingale Hardy-Lorentz-Karamata spaces ⋮ Orlicz-Lorentz Hardy martingale spaces ⋮ Sharp weak type inequalities for fractional integral operators ⋮ Variable martingale Hardy-Morrey spaces ⋮ Sharp weak type inequality for fractional integral operators associated with \(d\)-dimensional Walsh-Fourier series ⋮ Fractional integrals and their commutators on martingale Orlicz spaces ⋮ Commutators of fractional integrals on martingale Morrey spaces ⋮ The predual and John-Nirenberg inequalities on generalized BMO martingale spaces ⋮ Maximal commutator of conditional expectations

Cites Work

• Unnamed Item
• Unnamed Item
• The factorization of \(H^ p\) and the commutators
• Derivatives of analytic families of Banach spaces
• BMO and commutators of martingale transforms
• Lusin area functions on local fields
• Factorization theorems for Hardy spaces in several variables
• Mean oscillation and commutators of singular integral operators
• Multipliers for Walsh Fourier series
• Extrapolation and interpolation of quasi-linear operators on martingales
• Martingale Transforms
• Fourier Analysis on Local Fields. (MN-15)
• Maximal Singular Integral Transforms on Local Fields
• A characterization of a two-weight norm inequality for maximal operators

This page was built for publication: Commutators on dyadic martingales