Littlewood–Paley inequality for arbitrary rectangles in $\mathbb{R}^{2}$ for $0 < p \le2$

DOI10.1090/S1061-0022-2011-01141-0zbMath1219.42011OpenAlexW1648091520MaRDI QIDQ2996783

Nikolay N. Osipov

Publication date: 3 May 2011

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-2011-01141-0

zbMATH Keywords

atomic decompositionLittlewood-Paley inequalityHardy classCalderón-Zygmund operatorJourné lemma

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15)

Related Items (3)

Littlewood-Paley-Rubio de Francia inequality for the two-parameter Walsh system ⋮ Littlewood–Paley–Rubio de Francia inequality for multi‐parameter Vilenkin systems ⋮ Weighted Littlewood–Paley inequality for arbitrary rectangles in ℝ²

Cites Work

• A Littlewood-Paley inequality for arbitrary intervals
• Calderón-Zygmund operators on product spaces
• The Calderon-Zygmund Decomposition on Product Domains
• A Note on a Littlewood-Paley Inequality for Arbitrary Intervals in R²
• Calderón-Zygmund theory for product domains: H ^p spaces
• H p - and L p -Variants of Multiparameter Calderon-Zygmund Theory
• H ^p theory for the poly-disc
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