Pavel Zorin-Kranich

activity

20102024

most citedVariation estimates for averages along primes and polynomials

40 citations · 489 across the 52 of their papers we have counts for

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Showing 2021 · math.PRShow all

2 papers · 2 filters

math.PR2021

$A_{1}$ Fefferman-Stein inequality for maximal functions of martingales in uniformly smooth spaces

Pavel Zorin-Kranich

Let $f$ be a martingale with values in a uniformly $p$ -smooth Banach space and $w$ any positive weight. We show that $E (f^{*} \cdot w) ≲ E (S_{p} f \cdot w^{*})$ …

math.PR2021

Weighted Davis inequalities for martingale square functions

Dennis Wollgast, Pavel Zorin-Kranich

For a Hilbert space valued martingale $(f_{n})$ and an adapted sequence of positive random variables $(w_{n})$ , we show the weighted Davis type inequality \[ \mathbb{E} \Bigl( |f_0| w_…

A1​ Fefferman-Stein inequality for maximal functions of martingales in uniformly smooth spaces

Weighted Davis inequalities for martingale square functions

$A_{1}$ Fefferman-Stein inequality for maximal functions of martingales in uniformly smooth spaces