A Class of Domains with noncompact $\bar{\partial}$-Neumann operator

Details A Class of Domains with noncompact $\bar{\partial}$-Neumann operator A Class of Domains with noncompact $\bar{\partial}$-Neumann operator

2011-06-25

arxiv.org/abs/1106.5167v4

Mathematics

Complex Variables

Added the reference [8], minor literary improvements

Scientific paper

The $\bar{\partial}$-Neumann operator (the inverse of the complex Laplacian)
is shown to be noncompact on certain domains in complex Euclidean space. These
domains are either higher-dimensional analogs of the Hartogs triangle, or have
such a generalized Hartogs triangle imbedded appropriately in them.

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