Czasopisma Naukowe w Sieci (CNS)

Sharp inequalities for the Haar system and martingale transforms

  1. Adam Osękowski

Abstract

A classical result of Paley and Marcinkiewicz asserts that the Haar system on [0; 1] forms an unconditional basis in Lp provided 1 < p < ∞. The purpose of the paper is to study related weak-type inequalities, which can be regarded as a version of this property for p = 1. Probabilistic counterparts, leading to some sharp estimates for martingale transforms, are presented.

Pobierz artykuł

Ten artykuł

Probability and Mathematical Statistics

36, z. 1, 2016

Strony od 147 do 164

Inne artykuły autorów

Google Scholar

zamknij

Twoj koszyk (produkty: 0)

Brak produktów w koszyku

Twój koszyk Do kasy