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

Abstract

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

References in corpus (1)

• Variation estimates for averages along primes and polynomials

Cited by in corpus (1)

• Pointwise convergence of bilinear polynomial averages over the primes