Boundedness of convolution operators on triebel-lizorkin spaces via fourier transform estimates

الملخص EN

In this paper, we study the boundedness of some convolution operators defined by Tf=∑_(k∈z σk*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.