Directional maximal function along the primes

29 Sep 2019 Cladek Laura Durcik Polona Krause Ben Madrid José

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 $\ell^2$ norm of the associated maximal operator with supremum taken over all large scales grows with an epsilon power in the number of vectors... (read more)

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  • CLASSICAL ANALYSIS AND ODES