Holder estimates for homotopy operators on strictly pseudoconvex domains with C2 boundary

摘要

We derive a new homotopy formula for a strictly pseudoconvex domain of C2 boundary in Cn by using a method of Lieb and Range and obtain estimates in Lipschitz spaces for the homotopy operators. For r>1 and q>0, we obtain a r+1/2 solution u to =f for a -closed (0,q)-form f of class r in the domain. We apply the estimates to obtain boundary regularities of D-solutions for a domain in CnxRm.