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Some Pointwise Convergence Results in Lp(μ), 1 < p < ∞

Published online by Cambridge University Press:  20 November 2018

Richard Duncan
Richard Duncan*
Affiliation:
Department of Mathematics, University of MontrealP.O. Box 6128, MontrealQue. H3C 3J7
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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.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 20 , Issue 3 , 01 September 1977 , pp. 277 - 284
Copyright
Copyright © Canadian Mathematical Society 1977

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