On Lusin probability spaces
β Scribed by R. Srinivasan
- Publisher
- Springer
- Year
- 1963
- Tongue
- English
- Weight
- 130 KB
- Volume
- 1
- Category
- Article
- ISSN
- 1432-2064
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π SIMILAR VOLUMES
In this paper, we show that weakly null-additive fuzzy measures on metric spaces possess regularity. Lusin's theorem, which is well-known in classical measure theory, is generalized to fuzzy measure space by using the regularity and weakly null-additivity. A version of Egoro 's theorem for the fuzzy
Let X be a doubling metric measure space. If X has the Ξ΄-annular decay property for some Ξ΄ β (0, 1], the authors then establish the boundedness of the Lusin-area function, which is defined via kernels modeled on the semigroup generated by the SchrΓΆdinger operator, from localized spaces BMO Ο (X ) to
## Introduction 1.1. The starting point of this paper is the notion of concentration for metric probability spaces. Let (X, d, +) be a metric space with metric d and diameter diam(X) 1, which is also equipped with a Borel probability measure +. We then define the concentration function (or ``isoper