The maximal Fejér operator on the spaces \(H_p (\mathbb{R} \times\cdots\times \mathbb{R})\)

DOI10.1007/BF02908444zbMath0953.42010OpenAlexW2319933855MaRDI QIDQ1586357

Ferenc Weisz

Publication date: 13 November 2000

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02908444

zbMATH Keywords

Fejér means\(d\)-dimensional Hardy spaceconjugate meanshybrid maximal function

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Operations with distributions and generalized functions (46F10) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Harmonic analysis on specific compact groups (43A75) (H^p)-spaces (42B30)

Cites Work

• Martingale Hardy spaces and their applications in Fourier analysis
• \(H^p\) spaces of several variables
• Interpolation between Hardy spaces on the bidisc
• Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains
• H ^p theory for the poly-disc
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