Convolution estimates for measures on some complex curves

被引：0
|
作者：
Hyunuk Chung
Seheon Ham
机构：
[1] Pohang University of Science and Technology,Department of Mathematics
[2] Seoul National University,Research institute of Mathematics
来源：
Annali di Matematica Pura ed Applicata (1923 -) | 2019年 / 198卷
关键词：
Convolution estimate; Complex curves; Finite type; Affine arclength measure; 42B10;
D O I：
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学科分类号：
摘要：
We consider the convolution operator for a measure supported on a complex curve. 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 due to Christ and Stovall, we prove the (nearly) optimal Lorentz space estimates. This includes the optimal strong type estimates as special cases.
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页码：837 / 867
页数：30
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