Lusin functions and nontangential maximal functions in the \(H^ p\) theory on the product of upper half-spaces

DOI10.2748/TMJ/1178228718zbMath0567.31003OpenAlexW2007566588MaRDI QIDQ1059745

Shuichi Sato

Publication date: 1985

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228718

zbMATH Keywords

biharmonic functionnontangential maximal functionLusin area integral\(H^ p\)-space

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)

Related Items (1)

One-sided Littlewood-Paley inequality in \(\mathbb R^n\) for \(0<p\leq 2\)

Cites Work

• Bounded mean oscillation on the polydisk
• A continuous version of duality of \(H^ 1\) with BMO on the bidisc
• Parabolic maximal functions associated with a distribution
• Carleson measure on the bi-disc
• H ^p theory for the poly-disc
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