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

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

2004-01-08

arxiv.org/abs/math/0401078v1

Mathematics

Analysis of PDEs

33 pp.Unpublished results mainly from the 80-ies

Scientific paper

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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