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Iterates of a product of conditional expectation operators |
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| Authors: | Guy Cohen |
| Institution: | Hebrew University, Jerusalem, Israel |
| Abstract: | Let (Ω,F,μ) be a probability space and let T=P1P2?Pd be a finite product of conditional expectations with respect to the sub σ-algebras F1,F2,…,Fd. We show that for every f∈Lp(μ), 1<p?2, the sequence {Tnf} converges μ-a.e., with |
| Keywords: | Conditional expectations Maximal inequality Almost everywhere convergence Spectral sets Cesà ro summability Complex interpolation |
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