0000000001040446

AUTHOR

Luisa Di Piazza

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Convergence for varying measures

2023

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.

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 integrabilityAnalysisJournal of Mathematical Analysis and Applications
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