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

Bartosz Trojan; Mariusz Mirek; Pavel Zorin-Kranich

arxiv: 1410.3255 · v1 · pith:5J7O3NO6new · submitted 2014-10-13 · 🧮 math.CA · math.DS· math.NT

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

Mariusz Mirek , Bartosz Trojan , Pavel Zorin-Kranich This is my paper

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keywords alongaveragesestimatesintegralsnumbersprimesingulartruncated

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

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