Hardy inequalities for weighted Dirac operator

Clicks: 268
ID: 114975
2009
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Abstract
An inequality of Hardy type is established for quadratic forms involving Dirac operator and a weight r −b for functions in $${\mathbb{R}^n}$$ . The exact Hardy constant c b  = c b (n) is found and generalized minimizers are given. The constant c b vanishes on a countable set of b, which extends the known case n = 2, b = 0 which corresponds to the trivial Hardy inequality in $${\mathbb{R}^2}$$ . Analogous inequalities are proved in the case c b  = 0 under constraints and, with error terms, for a bounded domain.
Reference Key
adimurthi2009annalihardy Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Adimurthi;Kyril Tintarev;Adimurthi;Kyril Tintarev;
Journal annali di matematica pura ed applicata
Year 2009
DOI
doi:10.1007/s10231-009-0107-8
URL
https://link.springer.com/article/10.1007/s10231-009-0107-8
Keywords
mathematics general

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