Nonisotropic strongly singular integral operators

DOI10.1090/S0002-9947-02-03097-0zbMath1013.42011OpenAlexW1907949309MaRDI QIDQ3151259

Bassam Shayya

Publication date: 7 October 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-02-03097-0

zbMATH Keywords

strongly singular integralnonisotropic dilation

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Multipliers for harmonic analysis in several variables (42B15)

Cites Work

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• \(L^p\) estimates for strongly singular convolution operators in \(\mathbb{R}^n\)
• Inequalities for strongly singular convolution operators
• \(H^p\) spaces of several variables
• Extensions of Hardy spaces and their use in analysis
• Problems in harmonic analysis related to curvature
• Special trigonometric series in 𝑘-dimensions
• An \(H^p\) inequality for strongly singular integrals

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