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Start Over Creator Malý, Jan Date Unknown

3. Henstock-Kurzweil integral on BV sets

Creator:
Malý, Jan and Pfeffer, Washek F.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
Henstock-Kurzweil integral, charge, and BV set
Language:
English
Description:
The generalized Riemann integral of Pfeffer (1991) is defined on all bounded BV subsets of ℝ n , but it is additive only with respect to pairs of disjoint sets whose closures intersect in a set of σ-finite Hausdorff measure of codimension one. Imposing a stronger regularity condition on partitions of BV sets, we define a Riemann-type integral which satisfies the usual additivity condition and extends the integral of Pfeffer. The new integral is lipeomorphism-invariant and closed with respect to the formation of improper integrals. Its definition in ℝ coincides with the Henstock-Kurzweil definition of the Denjoy-Perron integral.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public