On a new form of the ergodic theorem for
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Liangpan Li; Lan Tang
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Article
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2008
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John Wiley and Sons
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English
β 133 KB
π 1 views
## Abstract Let 1 β€ __p__ < β and let __T__ be an ergodic measureβpreserving transformation of the finite measure space (__X__, __ΞΌ__). The classical __L^p^__ ergodic theorem of von Neumann asserts that for any __f__ Ο΅ __L^p^__ (__X__, __ΞΌ__), equation image When __X__ = π^__n__^ (the unit spher