Rearrangements of Conditionally Integrable Functions

Thomas Kunkle ()
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Thomas Kunkle: University of Charleston, SC , Department of Mathematics

A chapter in Approximation, Probability, and Related Fields, 1994, pp 339-355 from Springer

Abstract: Abstract From an s-variate continuous function whose positive and negative parts both have infinite Lebesgue integral, we construct a continuous rearrangement whose generalized Riemann integral equals any prescribed value. The original function is assumed to be finite a.e., with domain an interval in Rs. A similar result is obtained for functions defined on a ball.

Keywords: Closed Interval; Radial Function; Large Member; Lebesgue Measurable Function; Radial Extension (search for similar items in EconPapers)
Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-2494-6_26

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DOI: 10.1007/978-1-4615-2494-6_26

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