FAILURE OF THE $L^{1}$ POINTWISE AND MAXIMAL ERGODIC THEOREMS FOR THE FREE GROUP
Let $F_{2}$ denote the free group on two generators $a$ and $b$. For any measure-preserving system $(X,{\mathcal{X}},{\it\mu},(T_{g})_{g\in F_{2}})$ on a finite measure space $X=(X,{\mathcal{X}},{\it\mu})$, any $f\in L^{1}(X)$, and any $n\geqslant 1$, define the averaging operators $$\begin{eqnarray...
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| Natura: | Artigo |
| Lingua: | Inglês |
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Cambridge University Press
2015-11-01
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| Serie: | Forum of Mathematics, Sigma |
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| Accesso online: | https://www.cambridge.org/core/product/identifier/S2050509415000286/type/journal_article |
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