Singular measures and convolution operators

  1. Aldaz, J.M. 1
  2. Varona, J.L. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revista:
Acta Mechanica Sinica

ISSN: 0567-7718

Any de publicació: 2007

Volum: 23

Número: 3

Pàgines: 487-490

Tipus: Article

DOI: 10.1007/S10114-005-0682-6 SCOPUS: 2-s2.0-34047241306 WoS: WOS:000245267900011 arXiv: 0207285 GOOGLE SCHOLAR lock_openAccés obert editor

Altres publicacions en: Acta Mechanica Sinica

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Projectes relacionats

Ortogonalidad y aproximación: teoría y aplciaciones físicas y clínicas

2006/00095/001

Resum

We show that in the study of certain convolution operators, functions can be replaced by measures without changing the size of the constants appearing in weak type (1, 1) inequalities. As an application, we prove that the best constants for the centered Hardy-Littlewood maximal operator associated with parallelotopes do not decrease with the dimension. © Springer-Verlag Berlin Heidelberg 2007.