Sharp $L^p$-bounds for a small perturbation of Burkholder's martingale transform

DOI10.1512/IUMJ.2012.61.4641zbMath1278.60079OpenAlexW1994728311MaRDI QIDQ4923043

Prabhu Janakiraman, Nicholas Boros, Alexander Volberg

Publication date: 5 June 2013

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: http://www.iumj.indiana.edu/IUMJ/ABS/2012/4641

zbMATH Keywords

singular integralBellman functionmartingale transform

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Martingales with continuous parameter (60G44) Conjugate functions, conjugate series, singular integrals (42A50)

Related Items (2)

Perturbation of Burkholder's martingale transform and Monge-Ampère equation ⋮ On martingale transform inequalities in certain quasi-Banach function spaces

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