Uniform approximation by closed forms in several complex variables (Q2655370)

Three main theorems of the article generalize Alexander's and Ahlfors-Beurling's inequalities to several complex variables. These results are regarded as results in the framework of complex Clifford analysis. Actually, the standard \(\overline{\partial}\) operator, or Euclidean Dirac operators, are regarded as prototypes of non-elliptic, or, respectively, elliptic first-order differential operators for which a quantitative Hartogs-Rosenthal theorem, or Ahlfors-Beurling type inequality are valid.