Title of article :
Convolution with measures on flat curves in low
dimensions
Author/Authors :
Daniel M. Oberlin، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2010
Abstract :
We prove Lp →Lq convolution estimates for the affine arclength measure on certain flat curves in Rd
when d ∈ {2, 3, 4}. For d = 2, 3, we also establish certain related Lorentz space estimates.
© 2010 Elsevier Inc. All rights reserved
Keywords :
convolution , Affine arclength , Flat curve
Journal title :
Journal of Functional Analysis
Journal title :
Journal of Functional Analysis