Rearrangement and Convergence in Spaces of Measurable Functions
نویسندگان
چکیده
منابع مشابه
Research Article Rearrangement and Convergence in Spaces ofMeasurable Functions
We prove that the convergence of a sequence of functions in the space L0 of measurable functions, with respect to the topology of convergence in measure, implies the convergence μ-almost everywhere (μ denotes the Lebesgue measure) of the sequence of rearrangements. We obtain nonexpansivity of rearrangement on the space L∞, and also on Orlicz spaces LN with respect to a finitely additive extende...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2007
ISSN: 1025-5834,1029-242X
DOI: 10.1155/2007/63439