The fubini-tonelli integral in the sense of Weierstrass-cesari over pairs of bv curves

DOI10.1016/0362-546X(92)90090-2zbMath0776.49028OpenAlexW2067091615MaRDI QIDQ4008904

Gianluca Vinti

Publication date: 27 September 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(92)90090-2

zbMATH Keywords

\(\Gamma\)-quasi-additivity conditionFubini- Tonelli parametric WC-integralpairs of BV curvesWeierstrass-Cesari integral

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)

Related Items (2)

Extensions of Hermitian linear functionals ⋮ The work of calogero vinti in approximation theory and its impact in calculus of variations

Cites Work

• Nonlinear integration and Weierstrass integral over a manifold, connections with theorems on martingales
• A quasi-additivity type condition and the integral over a BV variety
• Quasi additivita e integrali non parametrici 2-dimensionali del calcolo delle variazioni
• Approssimata subadditivita e integrali non parametrici 2-dimensionali del calcolo delle variazioni
• The Burkill-Cesari integral
• Burkill-Cesari integrals of quasi additive interval functions
• On the nonparametric integral over a bv surface
• Quasi Additive Set Functions and the Concept of Integral Over a Variety
• Extension Problem for Quasi Additive Set Functions and Radon-Nikodym Derivatives
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