 07304 A. Balinsky, W. D. Evans and Y. Saito
 DiracSobolev inequalities and estimates for the zero modes of massless Dirac operators
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Dec 12, 07

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Abstract. The paper analyses the decay of any zero modes that might exist
for a massless Dirac operator $H:= \ba \cdot (1/i) \bgrad + Q, $
where $Q$ is $4 \times 4$matrixvalued and of order
$O(\x^{1})$ at infinity. The approach is based on inversion
with respect to the unit sphere in $\R^3$ and establishing
embedding theorems for DiracSobolev spaces of spinors $f$ which
are such that $f$ and $Hf$ lie in $\left(L^p(\R^3)\right)^4, 1\le
p<\infty.$
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