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- W3107662756 abstract "It is a classical but relatively less well-known result that, for every given measure space and every given $1 leq p leq +infty$, every sequence in $L^{p}$ that converges in $L^{p}$ has a subsequence converging almost everywhere. The typical proof is a byproduct of proving the completeness of $L^{p}$ spaces, and hence is not necessarily ``application-friendly''. We give a simple, perhaps more ``accessible'' proof of this result for all finite measure spaces." @default.
- W3107662756 created "2020-12-07" @default.
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- W3107662756 date "2020-11-01" @default.
- W3107662756 modified "2023-09-23" @default.
- W3107662756 title "A Note on Lp-Convergence and Almost Everywhere Convergence" @default.
- W3107662756 hasPublicationYear "2020" @default.
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