On the convergence of series in spaces of integrable functions

DOI10.1134/S0001434614050228zbMath1328.46025MaRDI QIDQ2342038

Yanyan Li

Publication date: 8 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Hölder's inequality\(\sigma\)-additive measureconvergence of series in \(L_p\)

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) Inequalities for sums, series and integrals (26D15)

Cites Work

• Convergence of series of simple partial fractions in $ L_p(\mathbb R)$
• Approximation by simple partial fractions and the Hilbert transform

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