On The Littlewood-Paley Theory for Mixed Norm Spaces

DOI10.2307/1998103zbMath0417.42012OpenAlexW4256508304MaRDI QIDQ3207535

John A. Gosselin

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/1998103

zbMATH Keywords

Rademacher functionsLittlewood-Paley functionWalsh-Fourier seriesHardy-Littlewood maximal functionmixed norm spacesKhinchine's inequalitylacunary maximal partial sum operator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Cites Work

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• The spaces \(L^ p\), with mixed norm
• A weighted norm inequality for singular integrals
• A Remarkable Series of Orthogonal Functions (I)
• A weighted norm inequality for Fourier series
• Some Maximal Inequalities