6533b859fe1ef96bd12b76ec

RESEARCH PRODUCT

Convergence for varying measures

Luisa Di PiazzaMarraffa ValeriaKazimierz MusialAnna Rita Sambucini

subject

Convergence in total variationSetwise convergenceConvergence in total variationUniform integrabilityAbsolute integrabilityPettis integralMultifunctionAbsolute integrabilitySetwise convergenceApplied MathematicsFunctional Analysis (math.FA)28B20 26E25 26A39 28B05 46G10 54C60 54C65Mathematics - Functional AnalysisMultifunctionSettore MAT/05 - Analisi MatematicaFOS: MathematicsPettis integralUniform integrabilityAnalysis

description

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.

yearjournalcountryeditionlanguage
2023-01-01Journal of Mathematical Analysis and Applications
https://doi.org/10.1016/j.jmaa.2022.126782