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On the uniqueness property of non-separable extensions of invariant Borel measures and relative measurability of real-valued functions
-
Mariam Beriashvili
and
Aleks Kirtadze
Published/Copyright:
March 1, 2014
Abstract.
It is shown that the class of all
non-separable extensions of a nonzero
Keywords: Non-separable measure; invariant measure; uniqueness property; relative measurability of real-valued functions
Funding source: Shota Rustaveli National Science Foundation
Award Identifier / Grant number: 31/25, 31/24
Received: 2013-01-09
Revised: 2013-10-30
Accepted: 2013-12-24
Published Online: 2014-03-01
Published in Print: 2014-03-01
© 2014 by Walter de Gruyter Berlin/Boston
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Articles in the same Issue
- 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
Keywords for this article
Non-separable measure;
invariant measure;
uniqueness property;
relative measurability of real-valued functions
Articles in the same Issue
- 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
