Polynomial capacities, Poincare' type inequalities and Spectral synthesis in Sobolev space
Analysis of PDEs
2007-05-23 v1 Functional Analysis
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.
Keywords
Cite
@article{arxiv.math/0401078,
title = {Polynomial capacities, Poincare' type inequalities and Spectral synthesis in Sobolev space},
author = {Andreas Wannebo},
journal= {arXiv preprint arXiv:math/0401078},
year = {2007}
}
Comments
33 pp.Unpublished results mainly from the 80-ies