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- Title
Weighted Ergodic Theory And Dimension Free Estimates.
- Authors
GILLESPIE, T. A.; TORREA, JOSÉ L.
- Abstract
Let T = {Ts}s∈R be a strongly continuous one‐parameter group of positive operators acting on Lp(μ), where μ is a σ‐finite measure and 1 ≤ p < ∞. We develop a weighted ergodic theory associated with T which parallels the classical theory of Ap‐weights. A weighted transference principle is obtained in this setting and used to establish dimension free weighted inequalities for certain classical operators, including the higher‐order Riesz transforms.
- Subjects
ERGODIC theory; FREE weights; RIESZ spaces; OPERATOR theory; CONTINUOUS groups
- Publication
Quarterly Journal of Mathematics, 2003, Vol 54, Issue 3, p257
- ISSN
0033-5606
- Publication type
Article
- DOI
10.1093/qmath/hag018