A note on stability of Hardy inequalities

Abstract

In this note we formulate recent stability results for Hardy inequalities in the language of Folland and Stein's homogeneous groups. Consequently, we obtain remainder estimates for Rellich type inequalities on homogeneous groups. Main differences from the Euclidean results are that the obtained stability estimates hold for any homogeneous quasi-norm.

to appear in Ann. Funct. Anal

References in corpus (2)

• Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups
• Stability of trace theorems on the sphere

Cited by in corpus (1)

• Hardy and Rellich inequalities for anisotropic p-sub-Laplacians