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- W3040466494 abstract "Let $(X, mathcal{A},mu)$ be a probability space and let $T$ be a contraction on $L^2(mu)$. We provide suitable conditions over sequences $(w_k)$, $(u_k)$ and $(A_k)$ in such a way that the weighted ergodic limit $limlimits_{Nrightarrowinfty}frac{1}{A_N}sum_{k=0}^{N-1} w_k T^{u_k}(f)=0$ $mu$-a.e. for any function $f$ in $L^2(mu)$. As a consequence of our main theorems, we also deal with the so-called one-sided weighted ergodic Hilbert transforms." @default.
- W3040466494 created "2020-07-10" @default.
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- W3040466494 date "2020-07-02" @default.
- W3040466494 modified "2023-09-27" @default.
- W3040466494 title "Convergence of weighted ergodic averages" @default.
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