On the regular convergence of multiple integrals of locally Lebesgue integrable functions over \(\overline{\mathbb R}_+^m\)

DOI10.1016/J.CRMA.2012.03.010zbMath1258.28005OpenAlexW1986431206MaRDI QIDQ432673

Ferenc Móricz

Publication date: 4 July 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S1631073X12000696

zbMATH Keywords

convergencemultiple integralmultiple seriesFubini's theoremlocally Lebesgue integrable function

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Multiple sequences and series (40B05) Convergence and divergence of integrals (40A10) Measures and integrals in product spaces (28A35)

Related Items (1)

On the regular convergence of multiple series of numbers and multiple integrals of locally integrable functions over \({\bar {\mathbb R}}^m_+\)

Cites Work

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• Some remarks on the notion of regular convergence of multiple series
• On the convergence in a restricted sense of multiple series
• On the uniform convergence of double sine integrals over –ℝ 2+
• On the convergence of double integrals and a generalized version of Fubini's theorem on successive integration

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