Title of article :
BOUNDEDNESS OF CONVOLUTION OPERATORS ON TRIEBEL-LIZORKIN SPACES VIA FOURIER TRANSFORM ESTIMATES
Author/Authors :
XIA, XIA Minzu University of China - College of Science, China , LU, SHANZHEN Beijing Normal University - School of Mathematical Sciences, China
Abstract :
In this paper, we study the boundedness of some convolution operators defined by Tf = ∑_kϵZσ k*f on the homogeneous Triebel-Lizorkin spaces by Fourier transform estimates. As applications, we improve some known results, by proving the boundedness for singular integral operators with rough kernels on homogeneous Triebel-Lizorkin spaces.
Journal title :
Jordan Journal Of Mathematics and Statistics
Journal title :
Jordan Journal Of Mathematics and Statistics
