Another proof that \(L^p\)-bounded pointwise convergence implies weak convergence

DOI10.14321/REALANALEXCH.36.2.0479zbMath1245.46023OpenAlexW1484669914MaRDI QIDQ416413

Marian Jakszto

Publication date: 10 May 2012

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14321/realanalexch.36.2.0479

zbMATH Keywords

weak convergencepointwise convergenceconvergence in measure\(L^p\)-spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20)

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