Solution Formulas for the delta delta Bar Equation and Weighted Nevanlinna Classes in the Polydisk

摘要

Explicit solutions for the differential operator delta delta bar equal to a differential form positive, closed of type (1,1)-current in the polydisk of n-dimensional complex space C which give minimal solutions in certain L sq spaces are shown. Formulas to find solutions in certain weighted Nevanlinna classes in the unit ball are used.