Notes on the Sobolev (Semi)Norms of Quadratic Functions

Details Notes on the Sobolev (Semi)Norms of Quadratic Functions Notes on the Sobolev (Semi)Norms of Quadratic Functions

2012-01-31

arxiv.org/abs/1201.6532v1

Mathematics

Optimization and Control

11 pages; related to http://www.optimization-online.org/DB_HTML/2011/11/3245.html

Scientific paper

This paper studies the $H^0$ norm and $H^1$ seminorm of quadratic functions.
The (semi)norms are expressed explicitly in terms of the coefficients of the
quadratic function under consideration when the underlying domain is an
$l_p$-ball (1 \leq p \leq \infty) in $R^n$ .

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