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首页> 外文期刊>Mathematical Problems in Engineering: Theory, Methods and Applications >Egoroff s Theorem and Lusin's Theorem for Capacities in the Framework of g-Expectation
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Egoroff s Theorem and Lusin's Theorem for Capacities in the Framework of g-Expectation

机译：Egoroff s Theorem and Lusin's Theorem for Capacities in the Framework of g-Expectation

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摘要

In the classical real analysis theory, Egoroff's theorem and Lusin's theorem are two of the most important theorems. The sigma-additivity of measures plays a crucial role in the proofs of these theorems. Later, many researchers have carried out lots of studies on Egoroff's theorem and Lusin's theorem when the measure is monotone and nonadditive (see, e.g., Li and Yasuda (2004) and Li and Mesiar (2011)). In this paper, we study Egoroff's theorem and Lusin's theorem for capacities in the framework of g-expectation. We give some different assumptions that provide Egoroff's theorem and Lusin's theorem in the framework of g-expectation.

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