Convergence for varying measures
Luisa Di Piazza, Valeria Marraffa, Kazimierz Musial, Anna Rita Sambucini
Abstract
Some limit theorems of the type $\int_Ωf_n dm_n -- --> \int_Ωf dm$ 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.