A theorem on weak type estimates for Riesz transforms and Martingale transforms

DOI10.5802/aif.826zbMath0437.60003OpenAlexW2029249718MaRDI QIDQ1141410

Nicholas Th. Varopoulos

Publication date: 1981

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1981__31_1_257_0

zbMATH Keywords

Riesz transformsmartingale transforms

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Martingales with discrete parameter (60G42) Probability measures on topological spaces (60B05)

Related Items (4)

BMO spaces associated with semigroups of operators ⋮ Limiting weak-type behavior for the Riesz transform and maximal operator when \(\lambda \rightarrow \infty \) ⋮ Poisson integrals of absolutely continuous and other measures ⋮ Martingale transforms and uniformly convergent orthogonal series

Cites Work

• Characterisations of $H^1$ by singular intetgral transforms on martingales and $\mathsf{R}^n$
• Quasi-Martingales.
• A note on the Hilbert transform
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