A probabilistic proof of the Garnett-Jones theorem on BMO

DOI10.2140/pjm.1980.90.201zbMath0477.46028OpenAlexW2133158016MaRDI QIDQ1160856

Nicholas Th. Varopoulos

Publication date: 1980

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1980.90.201

zbMATH Keywords

Brownian motionmartingalesBMO metricGarnett-Jones theorem

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30)

Related Items (8)

A new aspect of \(L_{\infty}\) in the space of BMO-martingales ⋮ Harmonic analysis of stochastic equations and backward stochastic differential equations ⋮ Aspects of probabilistic Littlewood-Paley theory ⋮ Estimates for the corona problem ⋮ On a decomposition of BMO-martingales ⋮ Certain decompositions of BMO-martingales ⋮ The Helson-Szegoe theorem and A//p-functions for Brownian motion and several variables ⋮ Remarks on the class of continuous martingales with bounded quadratic variation

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