- Tytuł:
- Pointwise ergodic theorems for functions in Lorentz spaces $L_{pq}$ with p ≠ ∞
- Autorzy:
- Sato, Ryotaro
- Powiązania:
- https://bibliotekanauki.pl/articles/1290543.pdf
- Data publikacji:
- 1994
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
pointwise ergodic theorems
$L_{pq}$ spaces
null preserving transformations
measure preserving transformations
positive contractions on $L_1$ spaces - Opis:
- Let τ be a null preserving point transformation on a finite measure space. Assuming τ is invertible, P. Ortega Salvador has recently obtained sufficient conditions for the almost everywhere convergence of the ergodic averages in $L_{pq}$ with 1 < p < ∞, 1 < q < ∞. In this paper we obtain necessary and sufficient conditions for the almost everywhere convergence, without assuming that τ is invertible and only assuming that p ≠ ∞.
- Źródło:
-
Studia Mathematica; 1994, 109, 2; 209-216
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł