ESTIMATES FOR SINGULAR INTEGRALS ALONG SURFACES OF REVOLUTION

DOI10.1017/S1446788708000773zbMath1182.42019arXiv0809.3315MaRDI QIDQ3395325

Shuichi Sato

Publication date: 26 August 2009

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

Full work available at URL: https://arxiv.org/abs/0809.3315

zbMATH Keywords

extrapolationtrigonometric integralnonisotropic singular integral

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (13)

Sobolev spaces with non-isotropic dilations and square functions of Marcinkiewicz type ⋮ Weighted weak type \((1,1)\) estimates for singular integrals with non-isotropic homogeneity ⋮ BOUNDS FOR NONISOTROPIC MARCINKIEWICZ INTEGRALS ASSOCIATED TO SURFACES ⋮ Maximal operators and singular integrals with non-isotropic dilation on product domains ⋮ Inequalities for generalized parametric Marcinkiewicz integrals along polynomial compound curves ⋮ Singular integrals on product homogeneous groups ⋮ On singular integrals associated to surfaces ⋮ WEIGHTED ESTIMATES FOR CERTAIN ROUGH OPERATORS WITH APPLICATIONS TO VECTOR VALUED INEQUALITIES ⋮ On rough singular integrals related to homogeneous mappings ⋮ Weak-type (1, 1) estimates for parabolic singular integrals ⋮ Boundedness of Littlewood-Paley operators relative to non-isotropic dilations ⋮ Singular integrals associated with functions of finite type and extrapolation ⋮ Nonisotropic dilations and the method of rotations with weight

Cites Work

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• A Singular Integral
• L 2 Boundedness of Hilbert Transforms Along Surfaces and Convolution Operators Homogeneous with Respect to a Multiple Parameter Group
• Problems in harmonic analysis related to curvature
• Singular Integrals and Maximal Functions Associated to Surfaces of Revolution

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