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Polynomial capacities, Poincare' type inequalities and Spectral synthesis in Sobolev space

Andreas Wannebo
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Abstract

Contains a further development of the V.G. Maz'ya concept of polynomial capacities.A different different approach is given together with new results. The primary application is for Hardy inequalities. This is treated in a later report. Here is given an application which consists of a reformulation of the Spectral synthesis question in terms of polynomial capacities. However so far this does not give a new proof, though a similar but different question for the nonnegative cone in Sobobolev space of order 2 is resolved.

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Andreas Wannebo. 2004-01-08. Polynomial capacities, Poincare' type inequalities and Spectral synthesis in Sobolev space. https://arxiv.org/abs/math/0401078

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