Equivalence of homogeneous L^p-Sobolev norms for Hardy operators with and without potential is established via new square function estimates for slowly decaying heat kernels.
On scales of S obolev spaces associated to generalized H ardy operators
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Equivalence of Sobolev norms in Lebesgue spaces for Hardy operators in a half-space
Equivalence of homogeneous L^p-Sobolev norms for Hardy operators with and without potential is established via new square function estimates for slowly decaying heat kernels.