Convolution estimates related to space curves
نویسنده
چکیده
Correspondence: youngwoo@ajou. ac.kr Department of Mathematics, Ajou University, Suwon 443-749, South Korea Abstract Based on a uniform estimate of convolution operators with measures on a family of plane curves, we obtain optimal L-L boundedness of convolution operators with affine arclength measures supported on space curves satisfying a suitable condition. The result generalizes the previously known estimates. 2000 Mathematics Subject Classifications: Primary 42B15; Secondary 42B20.
منابع مشابه
Uniform Lorentz norm estimates for convolution operators
Uniform endpoint Lorentz norm improving estimates for convolution operators with affine arclength measure supported on simple plane curves are established. The estimates hold for a wide class of simple curves, and the condition is stated in terms of averages of the square of the affine arclength weight, extending previously known results. MSC: Primary 44A35; secondary 42B35
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تاریخ انتشار 2011