Extension of -forms and related problems
Multidimensional residues and ideal membership.
Let I(f) be a zero-dimensional ideal in C[z1, ..., zn] defined by a mapping f. We compute the logarithmic residue of a polynomial g with respect to f. We adapt an idea introduced by Aizenberg to reduce the computation to a special case by means of a limiting process. We then consider the total sum of local residues of g w.r.t. f. If the zeroes of f are simple, this sum can be computed from a finite number of logarithmic residues. In the general...
The equation the intersection of pseudoconvex domains
Viene studiata l'equazione per le forme regolari sulla chiusura dell'intersezione di domini pseudoconvessi. Si costruisce un operatore soluzione in forma integrale e sotto ipotesi opportune si ottengono stime della soluzione nelle norme .
Some applications of the trace condition for pluriharmonic functions in C.
In this paper we investigate some applications of the trace condition for pluriharmonic functions on a smooth, bounded domain in C. This condition, related to the normal component on ∂D of the ∂-operator, permits us to study the Neumann problem for pluriharmonic functions and the ∂-problem for (0,1)-forms on D with solutions having assigned real part on the boundary.
The equation the intersection of pseudoconvex domains
Viene studiata l'equazione per le forme regolari sulla chiusura dell'intersezione di domini pseudoconvessi. Si costruisce un operatore soluzione in forma integrale e sotto ipotesi opportune si ottengono stime della soluzione nelle norme .
Ck-Regularity for the ?-equation on Strictly Pseudoconvex Domains with Piecewise Smooth Boundaries.
-regularity for the -equation on a piecewise smooth union of strictly pseudoconvex domains in
Page 1