3 papers
math.CV2016
Zero Sets of H^p Functions in Convex Domains of Finite Type
William Alexandre
We give a condition under which a divisor X in a bounded convex domain of finite type D in C^n is the zero set of a function in a Hardy space H^p(D) for some p \textgreater{} 0. Th…
math.CV2012
J-holomorphic discs and real analytic hypersurfaces
William Alexandre, Emmanuel Mazzilli
We give in \mathbb{R}^6 a real analytic almost complex structure J, a real analytic hypersurface M and a vector v in the Levi null set at 0 of M, such that there is no germ of J-ho…
math.CV2012
Division of holomorphic functions and growth conditions
William Alexandre, Emmanuel Mazzilli
Let D be a strictly convex domain of C^n, f_1 and f_2 be two holomorphic functions defined on a neighborhood of closure of D and set X_l={z, f_l(z)=0}, l=1,2. Suppose that X_l\cap…