Dyadic martingale Hardy and VMO spaces on the plane

DOI10.1007/BF01903716zbMath0718.60042OpenAlexW1970443798MaRDI QIDQ2639417

Ferenc Weisz

Publication date: 1990

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01903716

zbMATH Keywords

additive set functionsdyadic atomdyadic atomic Hardy spacetwo- parameter dyadic 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) Generalizations of martingales (60G48)

Related Items (4)

Martingale Hardy spaces, BMO and VMO spaces with nonlinearly ordered stochastic basis ⋮ Rectangular oscillation of a sequence of partial sums of multiple Fourier series and absence of the BMO property ⋮ Martingale Hardy spaces for \(0<p\leq 1\) ⋮ Atomic Hardy spaces

Cites Work

• Martingale Hardy spaces, BMO and VMO spaces with nonlinearly ordered stochastic basis
• Distribution function inequalities for martingales
• \(H^p\) spaces of several variables
• Extensions of Hardy spaces and their use in analysis
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