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arXiv · 1410.3255

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

Mariusz Mirek·Bartosz Trojan·Pavel Zorin-Kranich
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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.

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Mariusz Mirek, Bartosz Trojan, Pavel Zorin-Kranich. 2014-10-13. Variational estimates for averages and truncated singular integrals along the prime numbers. https://doi.org/10.1090/tran/6822

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