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Note on contractivity of the Neumann operator. (English) Zbl 0657.31010
The paper deals with the Neumann operator on the space of signed measures on boundary, for which the measure of the whole space equals zero. An example of a set, the complement of which is a non-convex bounded set, and at the same time the corresponding Neumann operator is contractiv on this space, is shown.
MSC:
31B20 Boundary value and inverse problems for harmonic functions in higher dimensions
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