Some convolution inequalities in realized homogeneous Besov and Triebel-Lizorkin spaces

摘要

Using the realizations, we study some convolution inequalities in the realized homogeneous Besov spaces ˙?Bs p,q(Rn) and the realized homogeneous Triebel-Lizorkin spaces ˙?Fs p,q(Rn). We also deduce for the homogeneous Sobolev spaces ˙Wmp(Rn) in certain sense.