Weak and strong type estimates for multilinear Calderón–Zygmund operators on differential forms

Abstract

Abstract In this paper, we define the multilinear Calderón–Zygmund operators on differential forms and prove the end-point weak type boundedness of the operators. Based on nonhomogeneous A-harmonic tensor, the Poincaré-type inequalities for multilinear Calderón–Zygmund operators on differential forms are obtained.

Keywords

• Multilinear Calderón–Zygmund operators
• End-point weak type boundedness
• A-harmonic equations
• Differential forms