Singular measures and convolution operators
-
1
Universidad de La Rioja
info
ISSN: 0567-7718
Datum der Publikation: 2007
Ausgabe: 23
Nummer: 3
Seiten: 487-490
Art: Artikel
Andere Publikationen in: Acta Mechanica Sinica
Projekte im Zusammenhang
Zusammenfassung
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.