A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

Haïm Brezis and Elliott Lieb
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Haïm Brezis: Université Paris VI, Département de Mathématiques
Elliott Lieb: Université Paris VI, Département de Mathématiques

A chapter in Inequalities, 2002, pp 523-527 from Springer

Abstract: Abstract We show that if f n is a sequence of uniformly L p-bounded functions on a measure space, and if f n → f pointwise a.e., then lim for all 0

Keywords: Convergence of functional; pointwise convergence; L p spaces (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55925-9_42

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DOI: 10.1007/978-3-642-55925-9_42

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