In n greater than or equal to 3, the Dirac operator admits weighted L2 solvability for |x|^m (m nonzero), x1^2, and small Gaussian perturbations but not for logarithmic weights controlled only by Delta phi.
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Weighted $L^2$ theory for the Euclidean Dirac operator in higher dimensions
In n greater than or equal to 3, the Dirac operator admits weighted L2 solvability for |x|^m (m nonzero), x1^2, and small Gaussian perturbations but not for logarithmic weights controlled only by Delta phi.