Marcinkiewicz-Zygmund type inequalities in the real ball

DOI10.3103/S1068362322010046zbMath1494.31008OpenAlexW4283395286MaRDI QIDQ2132105

K. L. Avetisian

Publication date: 27 April 2022

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362322010046

zbMATH Keywords

Littlewood-Paley inequalitiesharmonic functions in the unit ballMarcinkiewicz-Zygmund type inequalities

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Cites Work

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• Generalized Littlewood problem
• Harmonic Bergman functions on the unit ball in \(\mathbb R^n\)
• Harmonic Bergman spaces with small exponents in the unit ball
• Inequalities of Littlewood-Paley type for \(n\)-harmonic functions on the polydisk
• Littlewood-Paley theory for subharmonic functions on the unit ball in \(\mathbb R^N\)
• Mean values of power series
• A theorem of Lusin. I
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• On the Littlewood-Paley g-Function and the Lusin s-Function
• Theorems on Fourier Series and Power Series (II)^†

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