Directional maximal function along the primes
Cladek, Laura (University of California Los Angeles. Department of Mathematics)
Madrid, José (University of California Los Angeles. Department of Mathematics)
Durcik, Polona (California Institute of Technology (Estats Units d'Amèrica))
Krause, Ben (Princeton University. Department of Mathematics)

Date:	2021
Abstract:	We study a two-dimensional discrete directional maximal operator along the set of the prime numbers. We show existence of a set of vectors, which are lattice points in a sufficiently large annulus, for which the ' 2 norm of the associated maximal operator, with supremum taken over all large scales, grows with an epsilon power in the number of vectors. This paper is a follow-up to a prior work on the discrete directional maximal operator along the integers by the first and third author.
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Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Maximal functions ; Fourier transform ; Circle method
Published in:	Publicacions matemàtiques, Vol. 65 Núm. 2 (2021) , p. 841-858 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/390254
DOI: 10.5565/PUBLMAT6522113

18 p, 376.6 KB

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