RT Journal Article
T1 A counting problem in ergodic theory and extrapolation for one-sided weights
A1 Carro Rossell, María Jesús
A1 Lorente, María
A1 Martín Reyes, Francisco J.
AB The purpose of this paper is to prove that, given a dynamical system (X,M, μ, τ) and 0 < q < 1, the Lorentz spaces L1,q(μ) satisfy the so-called Return Times Property for the Tail, contrary to what happens in the case q = 1. In fact, we consider a more general case than in previous papers since we work with a σ-finite measure μ and a transformation τ which is only Cesàro bounded. The proof uses the extrapolation theory of Rubio de Francia for one-sided weights. These results are of independent interest and can be applied to many other situations.
PB Springer
SN 1565-8538
YR 2018
FD 2018
LK https://hdl.handle.net/20.500.14352/93686
UL https://hdl.handle.net/20.500.14352/93686
LA eng
NO M.J. Carro, M. Lorente, F.J. Martín-Reyes, A counting problem in ergodic theory and extrapolation for one-sided weights, JAMA 134 (2018) 237–254. https://doi.org/10.1007/s11854-018-0008-0.
NO Ministerio de Economía, Comercio y Empresa (España)
NO Junta de Andalucía
DS Docta Complutense
RD 27 abr 2025