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Weight Theory and Weighted Φ-inequalities

Ruilin Long

Chapter 6 in Martingale Spaces and Inequalities, 1993, pp 227-262 from Springer

Abstract: Abstract In this chapter, we will introduce the weight theory and weighted Φ-inequalities in martingale setting. The former is the main content of this chapter which contains A p condition and its extension b λ (§6.1–6.2 ), inverse Hülder inequality (§6.3), and the relation between A p weights and BMO martingales (§6.4–6.5). The last section §6.6 will be devoted to the weighted Φ-inequalities. The assumptions imposed on (Ω, F, μ, {F n }n≥0) are usual.

Keywords: Special Weight; Weak Type; Maximal Inequality; Unweighted Case; Finite Measure Space (search for similar items in EconPapers)
Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-322-99266-6_6

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DOI: 10.1007/978-3-322-99266-6_6

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