A Martingale Inequality Related to Exponential Square Integrability

DOI10.2307/2160336zbMath0789.42015OpenAlexW4237628570MaRDI QIDQ5288063

Jill Pipher

Publication date: 24 May 1994

Full work available at URL: https://doi.org/10.2307/2160336

zbMATH Keywords

inequalitysquare functionsHardy-Littlewood maximal functiondyadic martingaleexponential square integrability

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (2)

A modification of the Chang-Wilson-Wolff inequality via the Bellman function ⋮ Exponential square integrability for non-tangential limits of certain smooth functions

Cites Work

• Unnamed Item
• Approximation of harmonic functions
• Some weighted norm inequalities concerning the Schrödinger operators
• Bounded double square functions
• Weighted inequalities for the dyadic square function without dyadic \(A_{\infty}\)
• A sharp inequality for the square function
• \(H^p\) spaces of several variables
• Weighted norm inequalities for maximal functions and singular integrals

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