JOP's counting function and Jones' square function

• Autorzy: Karin Reinhold
• Języki publikacji: EN

Abstrakty

EN

We study a class of square functions in a general framework with applications to a variety of situations: samples along subsequences, averages of $ℤ₊^{d}$ actions and of positive L¹ contractions. We also study the relationship between a counting function first introduced by Jamison, Orey and Pruitt, in a variety of situations, and the corresponding ergodic averages. We show that the maximal counting function is not dominated by the square functions.

Kategorie tematyczne

• 40A30: Convergence and divergence of series and sequences of functions
• 42B25: Maximal functions, Littlewood-Paley theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 172
• Numer: 1
• Strony: 1-23

Daty

wydano

2006

Twórcy

autor

Karin Reinhold

• Department of Mathematics, University at Albany, SUNY, 1400 Washington Ave., Albany, NY 12222, U.S.A.

Identyfikatory

DOI

10.4064/sm172-1-1