Ir al contenido

Documat


Directional maximal function along the primes

  • Cladek, Laura [3] ; Madrid, José [3] ; Durcik, Polona [1] ; Krause, Ben [2]
    1. [1] California Institute of Technology

      California Institute of Technology

      Estados Unidos

    2. [2] Princeton University

      Princeton University

      Estados Unidos

    3. [3] UCLA. Department of Mathematics
  • Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 65, Nº 2, 2021, págs. 841-858
  • Idioma: inglés
  • DOI: 10.5565/publmat6522113
  • Enlaces
  • Resumen
    • 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 maximaloperator, 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.

  • Referencias bibliográficas

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno