Estimates of fundamental solution for Kohn Laplacian in Besov and Triebel-Lizorkin spaces

We introduce Besov space. B (a,q) p (partial derivative Omega(k)) and Triebel-Lizorkin space. F (proportional to,q) (p) (partial derivative Omega(k)) on a family of model domains partial derivative Omega(k) = {(z, z(n+1)) = (z(1), z(2),..., z(n+1)) : Im(z(n+1)) = closed integral(|z|(2))}with closed integral(x) = x(k) in Cn+1 which can be considered as a space of homogeneous type in the sense of Coifman RR, Weiss G.[Analyse Harmonique Non-commutative and Certains Espaces Homog` n es. Berlin: Springer; 1971. (Lecture Notes in Math.; 242).], Coifman R, Weiss G. [Extensions of Hardy spaces and their use in analysis. Bull Amer Math Soc. 1977;83:569-645.]. We study the sharp estimates on the fundamental solution for the Kohn Laplacian and Cauchy-Szego projection on partial derivative Omega(k) in these spaces.