Uniform Lorentz norm estimates for convolution operators

DOI10.1186/1029-242X-2014-256zbMath1311.44007WikidataQ59321586 ScholiaQ59321586MaRDI QIDQ2263359

Youngwoo Choi

Publication date: 18 March 2015

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

zbMATH Keywords

convolutionLorentz spacenorm estimateaffine arclength

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Function spaces arising in harmonic analysis (42B35)

Cites Work

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• Convolution estimates related to space curves
• Two endpoint bounds for generalized Radon transforms in the plane
• Universal \(L^p\) improving for averages along polynomial curves in low dimensions
• Convolution with measures on flat curves in low dimensions
• Affine dimension: measuring the vestiges of curvature.
• Endpoint bounds for a generalized Radon transform
• Degenerate curves and harmonic analysis
• RESTRICTION OF FOURIER TRANSFORMS TO CURVES II: SOME CLASSES WITH VANISHING TORSION
• Fourier restriction theorems for curves with affine and Euclidean arclengths
• Convolution with Measures on Polynomial Curves
• Convolution with measures on hypersurfaces
• Two estimates for curves in the plane

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