most citedEquivalence of Sobolev norms in Lebesgue spaces for Hardy operators in a half-space

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math.AP2026★ 1 cited

Equivalence of Sobolev norms in Lebesgue spaces for Hardy operators in a half-space

The Anh Bui, Konstantin Merz

We consider Hardy operators, i.e., homogeneous Schrödinger operators consisting of the ordinary or fractional Laplacian in a half-space plus a potential, which only depends on the…

math.AP2026

Equivalence of Sobolev norms for Kolmogorov operators with scaling-critical drift

The Anh Bui, Xuan Thinh Duong, Konstantin Merz

We consider the ordinary or fractional Laplacian plus a homogeneous, scaling-critical drift term. This operator is non-symmetric but homogeneous, and generates scales of -Sobo…