Inequalities of Littlewood-Paley type for \(n\)-harmonic functions on the polydisk

DOI10.1023/B:MATN.0000023329.05157.70zbMath1062.31005OpenAlexW1991359474MaRDI QIDQ1889630

K. L. Avetisian

Publication date: 6 December 2004

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

Full work available at URL: https://doi.org/10.1023/b:matn.0000023329.05157.70

zbMATH Keywords

Littlewood-Paley \(g\)-functionLittlewood-Paley inequalitiesinterpolation of operatorsfractional derivative\(n\)-harmonic functions in the polydisk

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (3)

Marcinkiewicz-Zygmund type inequalities in the real ball ⋮ Weighted integrals and Bloch spaces of \(n\)-harmonic functions on the polydisc ⋮ Norms of some operators on the Bergman and the Hardy space in the unit polydisk and the unit ball

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