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On some real-valued step-functions with strange measurability properties
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Alexander B. Kharazishvili
Veröffentlicht/Copyright:
1. März 2014
Abstract.
We analyze Sierpiński's example of a real-valued Lebesgue measurable
function on
Received: 2013-03-20
Accepted: 2013-09-03
Published Online: 2014-03-01
Published in Print: 2014-03-01
© 2014 by Walter de Gruyter Berlin/Boston
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Artikel in diesem Heft
- Frontmatter
- Weighted Montgomery identity for the fractional integral of a function with respect to another function
- New classes of Hermite–Tricomi functions and generating relations
- On *-centralizing mappings in rings with involution
- On the general linear boundary value problems for impulsive systems with singularities
- On the topology of spaces of partial and local maps
- On the uniqueness property of non-separable extensions of invariant Borel measures and relative measurability of real-valued functions
- Shared values for differences and Borel exceptional values
- Absolute convergence of multiple Fourier–Haar series
- A Stancu variant of Beta-Szász operators
- On some real-valued step-functions with strange measurability properties
- A topological approach to the nilpotent multipliers of a free product
- On firmly nonexpansive perturbations of the identity in Hilbert spaces
- Boundedness of some sublinear operators on Herz–Morrey spaces with variable exponent
Schlagwörter für diesen Artikel
Step-function;
Lebesgue measurable function;
Borel function;
nonmeasurable set
Artikel in diesem Heft
- Frontmatter
- Weighted Montgomery identity for the fractional integral of a function with respect to another function
- New classes of Hermite–Tricomi functions and generating relations
- On *-centralizing mappings in rings with involution
- On the general linear boundary value problems for impulsive systems with singularities
- On the topology of spaces of partial and local maps
- On the uniqueness property of non-separable extensions of invariant Borel measures and relative measurability of real-valued functions
- Shared values for differences and Borel exceptional values
- Absolute convergence of multiple Fourier–Haar series
- A Stancu variant of Beta-Szász operators
- On some real-valued step-functions with strange measurability properties
- A topological approach to the nilpotent multipliers of a free product
- On firmly nonexpansive perturbations of the identity in Hilbert spaces
- Boundedness of some sublinear operators on Herz–Morrey spaces with variable exponent
