Título inglés | Weighted Lp spaces and pointwise ergodic theorems. |
---|---|
Título español | Espacios Lp ponderados y teoremas ergódicos puntuales. |
Autor/es | Sato, Ryotaro |
Organización | Dep. Math. Fac. Sci. Okayama Univ., Okayama, Japón |
Revista | 0214-1493 |
Publicación | 1995, 39 (2): 273-283, 7 Ref. |
Tipo de documento | articulo |
Idioma | Inglés |
Resumen inglés | In this paper we give an operator theoretic version of a recent result
of F. J. Martín-Reyes and A. de la Torre concerning the problem of finding necessary and sufficient conditions for a nonsingular point transformation to satisfy the Pointwise Ergodic Theorem in
Lp. We consider a positive conservative contraction T on L1 of a σ-finite measure space (X, F, μ), a fixed function e in L1 with
e > 0 on X, and two positive measurable functions V and W on
X. We then characterize the pairs (V,W) such that for any f in Lp(V dμ) the averages R0n (f,e) = (Σnk=0 Tk f) / (Σnk=0 Tk e) converge almost everywhere to a function in Lp(W dμ). The characterizations are given for all p, 1 ≤ p < ∞. |
Clasificación UNESCO | 120201 |
Palabras clave español | Operadores lineales ; Teoría ergódica |
Código MathReviews | MR1370886 |
![]() |