Geodesic
Some Pointwise Convergence Results in Lp (μ), 1 < p < ∞
Canadian mathematical bulletin, Tome 20 (1977) no. 3, pp. 277-284

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The theory of almost everywhere convergence has its roots in the poineering work of A. Kolmogorov, and today it constitutes one of the most captivating and challenging chapters in modern probability theory and analysis. Whereas some modes of convergence for sequences of measurable functions, e.g. convergence in norm, can be readily obtained by an intelligent exploitation of the various properties of the function spaces involved, a.e. convergence invariably requires a rather high, and sometimes surprising, degree of mathematical virtuosity. 
Duncan, Richard. Some Pointwise Convergence Results in Lp (μ), 1 < p < ∞. Canadian mathematical bulletin, Tome 20 (1977) no. 3, pp. 277-284. doi: 10.4153/CMB-1977-043-7
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     author = {Duncan, Richard},
     title = {Some {Pointwise} {Convergence} {Results} in {Lp} (\ensuremath{\mu}), 1 &lt; p &lt; \ensuremath{\infty}},
     journal = {Canadian mathematical bulletin},
     pages = {277--284},
     year = {1977},
     volume = {20},
     number = {3},
     doi = {10.4153/CMB-1977-043-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-043-7/}
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