Friedrich Haslinger
Compactness of the $\overline\partial$-Neumann Operator on Weighted $(0,q)$--Forms
Preprint series: ESI preprints

MSC:

32F20 $\overline\partial$- and $\overline\partial_b$-Neumann problems, See also {35N15}

35N15 $\overline\partial$-Neumann problem and generalizations; formal complexes, See also {32F20 and 58G05}

32A37 Other spaces of holomorphic functions (e.g. bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA) in $n$ dimensions), See also {46Exx}

35J10 Schrodinger operator, See also {35Pxx}

Abstract: As an application of a characterization of compactness of the $\ovprt $-Neumann
operator we derive a sufficient condition for compactness of the $\ovprt $-Neumann
operator on $(0,q)$-forms in weighted $L^2$-spaceson $\mathbb{C}^n.$


Keywords: $\ovprt $-Neumann problem, Sobolev spaces, compactness