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• W2279969392 abstract "We consider the convolution operator for a measure supported on complex curves. The measure which we consider here is an analogue of the affine arclength measure for real curves. By modifying a combinatorial argument called the band structure argument, we prove the (nearly) optimal Lorentz space estimates. This includes the optimal strong type estimates as special cases. The complex curves we consider here are the ones considered for the Fourier restriction estimates for complex curves in cite{BH}." @default.
• W2279969392 created "2016-06-24" @default.
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• W2279969392 date "2015-03-30" @default.
• W2279969392 modified "2023-09-23" @default.
• W2279969392 title "Convolution estimates for measures on some complex curves" @default.
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• W2279969392 doi "https://doi.org/10.48550/arxiv.1503.08569" @default.
• W2279969392 hasPublicationYear "2015" @default.
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