Abstract
LetS: [0,1]→[0,1] be a piecewise monotonic transformation satisfying some conditions. We show that time averages (1/n) ∑n−1j=0f∘Sjconverge strongly inLp(0,1) and pointwisely almost everywhere for anyf∈Lp(0,1), where 1≤p<∞.
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