Singular Integrals in Several Complex Variables

Abstract

Let Ω be a smooth, bounded, strictly pseudo-convex domain in (ℂⁿ. Let H(w, z) be the Henkin-Ramirez kernel and E(w,z)+C(w,z) be the Stein-Kerzman kernel. Since both H(w,z) dσ_z and E(w,z) dσ_z are Cauchy-Fantappie forms, they may be written as

$$ \frac{{{\text{c}}_{\text{n}} }} {{{\text{g}}^{\text{n}} }}\,\,\omega {\text{dz}}_{\text{1}} \wedge \cdots \wedge {\text{dz}}_{\text{n}} $$