Let Omega be a smoothly bounded pseudoconvex domain in C-2 and let b Omega be of finite type m. Then we prove the stability of Holder estimates for partial derivative under some perturbations of b Omega. As an application, we prove the Mergelyan property with respect to C-alpha(<(Omega)over bar>) norms for 0 less than or equal to alpha < 1/m.
机构:
Vietnam Natl Univ Ho Chi Minh City VNU HCM, Fac Math & Comp Sci, Univ Sci, Ho Chi Minh City, VietnamVietnam Natl Univ Ho Chi Minh City VNU HCM, Fac Math & Comp Sci, Univ Sci, Ho Chi Minh City, Vietnam