Results 51 to 60 of about 337,654 (135)
Lusin type theorems for Radon measures [PDF]
Rendiconti del Seminario Matematico della Università di Padova, 2017 We add to the literature the following observation. If \mu is a singular measure on \mathbb{R}^n which assigns measure zero to every porous set and
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Lifting theorems in nonstandard measure theory
, 1990 1. A nonstandard capacity construction, analogous to Loeb’s measure construction, is developed. Using this construction and Choquet’s Capacitability theorem, it is proved that a Loeb measurable function into a general (not necessarily second countable ...
David Ross
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Continuous images of Lusin sets
, 1983 It is the purpose of this note to further clarify the relationship between continuous images of Lusin sets and concentrated sets.
J. B. Brown, G. V. Cox
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A note on Lusin-type approximation of Sobolev functions on Gaussian spaces
, 2021 Shaposhnikov A. A note on Lusin-type approximation of Sobolev functions on Gaussian spaces. Journal of Functional Analysis. 2021;280(6): 108917.We establish new approximation results in the sense of Lusin for Sobolev functions f with vertical bar del f ...
Shaposhnikov, Alexander +1 more
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Lusin sets and well ordering the continuum
, 1975 A Lusin set is constructed in a model of set theory which lacks a well ordering of the continuum.
Karel Prikry, David Pincus
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An extension of Eegoroff’s and Lusin’s theorems in operator-valued case
Filomat, 2018 Here, we extend three basic facts from classical measure theory to operator-valued case. At first we show that operator-valued measurable functions may be approximated by simple ones. In the sequel, two fundamental theorems Egoroff and Lusin are extended in operator-valued case.
Bagheri-Bardi, G. A. +1 more
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Smooth approximation in weighted Sobolev spaces [PDF]
, 1997 summary:We give necessary and sufficient conditions for the equality $H=W$ in weighted Sobolev spaces. We also establish a Rellich-Kondrachov compactness theorem as well as a Lusin type approximation by Lipschitz functions in weighted Sobolev ...
Kilpeläinen, T.
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A general formulation of a theorem of Luzin
, 1979 Si dimostra una estensione di un noto teorema dovuto a Lusin.Here it is proved an extension of a known theorem due to ...
Albano, Luigi
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Computability on the Countable Ordinals and the Hausdorff-Kuratowski Theorem (Extended Abstract) [PDF]
, 2015 While there is a well-established notion of what a computable ordinal is, the question which functions on the countable ordinals ought to be computable has received less attention so far.
Arno Pauly
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An analog of the Lusin-Privaloff radial uniqueness theorem [PDF]
Proceedings of the American Mathematical Society, 1970 1. Let D={IzI 0 for each subarc A' of A. Barth and Schneider have proved the following analog of the F. and M. Riesz uniqueness theorem for bounded holomorphic functions.
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