Convergence for varying measures

DOI10.1016/J.JMAA.2022.126782arXiv2209.00354MaRDI QIDQ6409447

Valeria Marraffa, A. R. Sambucini, Luisa Di Piazza, Kazimierz Musial

Publication date: 1 September 2022

Abstract: Some limit theorems of the type

i n t_{O m e g a} f_{n} d m_{n} - - - - > i n t_{O m e g a} f d m

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.

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20)

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