Directional maximal function along the primes
نویسندگان
چکیده
We study a two-dimensional discrete directional maximal operator along the set of the prime numbers. show existence vectors, which are lattice points in a sufficiently large annulus, for $\ell^2$ norm associated maximal operator, with supremum taken over all scales, grows an epsilon power number vectors. This paper is follow-up to prior work on directional integers by first and third author.
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ژورنال
عنوان ژورنال: Publicacions Matematiques
سال: 2021
ISSN: ['2014-4350', '0214-1493']
DOI: https://doi.org/10.5565/publmat6522113