Convolution estimates related to space curves

DOI10.1186/1029-242X-2011-91zbMath1272.42008WikidataQ59268047 ScholiaQ59268047MaRDI QIDQ357664

Youngwoo Choi

Publication date: 13 August 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

convolution operatoraffine arclength

Mathematics Subject Classification ID

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

Related Items (2)

Uniform Lorentz norm estimates for convolution operators ⋮ Uniform estimates for damped Radon transform on the plane

Cites Work

• Convolution with measures on flat curves in low dimensions
• Degenerate curves and harmonic analysis
• RESTRICTION OF FOURIER TRANSFORMS TO CURVES II: SOME CLASSES WITH VANISHING TORSION
• Convolution estimates related to surfaces of half the ambient dimension
• Convolution with Measures on Curves in ℝ³
• Convolution estimates for some degenerate curves
• The L^p-L^p mapping properties of convolution operators with the affine arclength measure on space curves
• Two estimates for curves in the plane

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