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arXiv · 2209.00354

Convergence for varying measures

Luisa Di Piazza·Valeria Marraffa·Kazimierz Musial·Anna Rita Sambucini
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Abstract

Some limit theorems of the type $\int_{\Omega}f_n dm_n -- --> \int_{\Omega}f dm$ are presented for scalar, (vector), (multi)-valued sequences of m_n-integrable functions f_n. The convergences obtained, in the vector and multivalued settings, are in the weak or in the strong sense.

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Luisa Di Piazza, Valeria Marraffa, Kazimierz Musial, Anna Rita Sambucini. 2022-09-01. Convergence for varying measures. https://doi.org/10.1016/j.jmaa.2022.126782

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