Lipschitz estimates on weakly pseudoconvex domains

Given an arbitrary pseudoconvex domain D ⊂ C n, in general, one cannot construct an integral kernel using holomorphic support functions. Here we consider an integral kernel O 0(W L , defined for weakly pseudoconvex domains, that while not holomorphic, does display related properties. We examine the transform defined by this kernel,T f, on the Holder spaces Lambda f we inspect how tangential vector fields apply to T f.