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

Aldizkaria:
Acta Mechanica Sinica

ISSN: 0567-7718

Argitalpen urtea: 2007

Alea: 23

Zenbakia: 3

Orrialdeak: 487-490

Mota: Artikulua

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

Beste argitalpen batzuk: Acta Mechanica Sinica

Gordailu instituzionala: lock_openSarbide irekia Editor lock_openSarbide irekia Postprint

Lotura duten proiektuak

Ortogonalidad y aproximación: teoría y aplciaciones físicas y clínicas

2006/00095/001

Laburpena

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.