Orthogonal martingales under differential subordination and applications to Riesz transforms

zbMath0883.60042MaRDI QIDQ678948

Gang Wang, Rodrigo Bañuelos

Publication date: 4 March 1998

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

zbMATH Keywords

martingaleRiesz transformsdifferential subordination

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Martingales with continuous parameter (60G44) Martingales and classical analysis (60G46)

Related Items (10)

A sharp weak type $(p,p)$ inequality $(p>2)$ for martingale transforms and other subordinate martingales ⋮ The Hilbert Transform and Orthogonal Martingales in Banach Spaces ⋮ The foundational inequalities of D. L. Burkholder and some of their ramifications ⋮ Sharp logarithmic inequalities for Riesz transforms ⋮ Sharp weak type estimates for Riesz transforms ⋮ On the action of Riesz transforms on the class of bounded functions ⋮ Discrete Hilbert transform à la Gundy–Varopoulos ⋮ Strong differential subordination and sharp inequalities for orthogonal processes ⋮ On strongly orthogonal martingales in UMD Banach spaces ⋮ Operator-valued martingale transforms

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