2 00 8 Hardy inequalities for weighted Dirac operator
نویسنده
چکیده
An inequality of Hardy type is established for quadratic forms involving Dirac operator and a weight r for functions in R. The exact Hardy constant cb = cb(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. Analogous inequalities are proved in the case cb = 0 under constraints and, with error terms, for a bounded domain. 2000 Mathematics Subject Classification. Primary 35Q40, 35Q75, 46N50, 81Q10; Secondary 35P05, 47A05, 47F05.
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