Conditional Square Functions, the Sine-Cosine Decomposition for Hardy Martingales and Dyadic Perturbation

2016/11/08 by Paul F. X. Müller, Müller, Paul F. X.
Computer Science · Mathematics · #&amp #0G46 #32A35 #60G42 #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.1611.02653

openalex publication_date 2016/11/08 · openalex created_date 2022/08/30 · openalex updated_date 2026/07/28

Abstract

We prove that the \cal P norm estimate between a Hardy martingale and its cosine part are stable under dyadic perturbations, and show how dyadic stability of the \cal P norm estimate is used in the proof that L¹ embeds into L¹/H¹.

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