Some limit theorems of the type ∫Ωfndmn→∫Ωfdm are presented for scalar, (vector), (multi)-valued sequences of mn-integrable functions fn. The convergences obtained, in the vector and multivalued settings, are in the weak or in the strong sense.
Di Piazza L., Marraffa V., Musial K., Sambucini A.R. (2023). Convergence for varying measures. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 518(2), 1-22 [10.1016/j.jmaa.2022.126782].
Convergence for varying measures
Marraffa V.
;
2023-01-01
Abstract
Some limit theorems of the type ∫Ωfndmn→∫Ωfdm are presented for scalar, (vector), (multi)-valued sequences of mn-integrable functions fn. The convergences obtained, in the vector and multivalued settings, are in the weak or in the strong sense.
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