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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6 papers · 1 filter

math.PR2024

Lipschitz estimates in the Besov settings for Young and rough differential equations

Peter Friz, Hannes Kern, Pavel Zorin-Kranich

We develop a set of techniques that enable us to effectively recover Besov rough analysis from p-variation rough analysis. Central to our approach are new metric groups, in which s…

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_…

math.PR2020★ 10 cited

Rough semimartingales and $p$ -variation estimates for martingale transforms

Peter Friz, Pavel Zorin-Kranich

We establish a new scale of $p$ -variation estimates for martingale paraproducts, martingale transforms, and Itô integrals, of relevance in rough paths theory, stochastic, and harmo…

math.PR2019★ 3 cited

Weighted Lépingle inequality

Pavel Zorin-Kranich

We prove an estimate for weighted $p$ -th moments of the pathwise $r$ -variation of a martingale in terms of the $A_{p}$ characteristic of the weight. The novelty of the proof is tha…

math.PR2018★ 4 cited

Variational estimates for martingale paraproducts

Vjekoslav Kovač, Pavel Zorin-Kranich

We show that bilinear variational estimates of Do, Muscalu, and Thiele (arXiv:1009.5187) remain valid for a pair of general martingales with respect to the same filtration. Our res…

Lipschitz estimates in the Besov settings for Young and rough differential equations

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

Weighted Davis inequalities for martingale square functions

Rough semimartingales and p-variation estimates for martingale transforms

Weighted Lépingle inequality

Variational estimates for martingale paraproducts

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

Rough semimartingales and $p$ -variation estimates for martingale transforms