Bounded double square functions

DOI10.5802/aif.1048zbMath0583.60038OpenAlexW1992969055MaRDI QIDQ1069206

Jill Pipher

Publication date: 1986

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1986__36_2_69_0

zbMATH Keywords

Calderòn-Torchinsky decompositiondouble dyadic martingalesvector- valued form of an inequality for dyadic martingales

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Martingales with continuous parameter (60G44)

Related Items (12)

On Azuma-type inequalities for Banach space-valued martingales ⋮ Square-like functions generated by the Laplace-Bessel differential operator ⋮ A Martingale Inequality Related to Exponential Square Integrability ⋮ On the small ball inequality in three dimensions ⋮ Logarithmic \(L^p\) bounds for maximal directional singular integrals in the plane ⋮ Square-like functions generated by a composite wavelet transform ⋮ On the discrepancy function in arbitrary dimension, close to \(L^1\) ⋮ Maximal Marcinkiewicz multipliers ⋮ Exponential Squared Integrability of the Discrepancy Function in Two Dimensions ⋮ A multiplier inclusion theorem on product domains ⋮ Maximal functions for multipliers on stratified groups ⋮ Proof techniques in quasi-Monte Carlo theory

Cites Work

• Some weighted norm inequalities concerning the Schrödinger operators
• A continuous version of duality of \(H^ 1\) with BMO on the bidisc
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