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

collaborators

Showing 2014 · math.CAShow all

3 papers · 2 filters

math.CA2014★ 22 cited

Variational estimates for averages and truncated singular integrals along the prime numbers

Mariusz Mirek, Bartosz Trojan, Pavel Zorin-Kranich

We prove, in a unified way, $r$ -variational estimates, $r > 2$ , on $ℓ^{s} (Z)$ spaces, $s \in (1, \infty)$ , for averages and truncated singular integrals along the set of…

math.CA2014★ 28 cited

Weighted and vector-valued variational estimates for ergodic averages

Ben Krause, Pavel Zorin-Kranich

We prove weighted and vector-valued variational estimates for ergodic averages on $R^{d}$ . The weighted square function estimate relating ergodic averages to the dyadic mart…

math.CA2014★ 40 cited

Variation estimates for averages along primes and polynomials

Pavel Zorin-Kranich

We prove $q$ -variation estimates, $q > 2$ , on $ℓ^{p}$ spaces for averages along primes (with $1 < p < \infty$ ) and polynomials (with $\frac{1}{p} - \frac{1}{2} < \frac{1}{2 ( d + 1 )}$ …