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Hardy inequalities for weighted Dirac operator
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Applied Mathematics.
2010 (English)In: Annali di Matematica Pura ed Applicata, ISSN 0373-3114, E-ISSN 1618-1891, Vol. 189, no 2, 241-251 p.Article in journal (Refereed) Published
Abstract [en]

An inequality of Hardy type is established for quadratic forms involving Dirac operator and a weight r(-b) for functions in R-n. The exact Hardy constant c(b) = c(b) (n) is found and generalized minimizers are given. The constant cb vanishes on a countable set of b, which extends the known case n = 2, b = 0 which corresponds to the trivial Hardy inequality in R-2. Analogous inequalities are proved in the case c(b) = 0 under constraints and, with error terms, for a bounded domain.

Place, publisher, year, edition, pages
2010. Vol. 189, no 2, 241-251 p.
Keyword [en]
Dirac operator, Hardy inequality, Optimal constants
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-136937DOI: 10.1007/s10231-009-0107-8ISI: 000275544800003OAI: oai:DiVA.org:uu-136937DiVA: diva2:377713
Available from: 2010-12-14 Created: 2010-12-14 Last updated: 2017-12-11Bibliographically approved

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