Two results on the Dunkl maximal operator

• Autorzy: Luc Deleaval
• Języki publikacji: EN

Abstrakty

EN

In this article, we first improve the scalar maximal theorem for the Dunkl maximal operator by giving some precisions on the behavior of the constants of this theorem for a general reflection group. Next we complete the vector-valued theorem for the Dunkl-type Fefferman-Stein operator in the $ℤ₂^{d}$ case by establishing a result of exponential integrability corresponding to the case p = +∞.

Kategorie tematyczne

• 42B10: Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
• 42B25: Maximal functions, Littlewood-Paley theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2011
• Tom: 203
• Numer: 1
• Strony: 47-68

Daty

wydano

2011

Twórcy

autor

Luc Deleaval

• Institut de Mathématiques de Jussieu, Université Pierre et Marie Curie, 4 place Jussieu, 75005 Paris, France

Identyfikatory

DOI

10.4064/sm203-1-3