Answers are grounded in this paper and cite their sources.
Mathematical analysis demonstrates refined Hardy and Rellich inequalities via non-standard remainder terms, indicating sharper bounds based on distance from virtual extremals.
We consider the Hardy inequality on R N , the critical Hardy inequality on a ball, and the Rellich inequality on R N . These three Hardy type inequalities can be refined by adding remainder terms. Our remainder terms are expressed by a distance from the families of "virtual" extremals. A key ingredient is the critical Hardy inequality on R N which was proved by Machihara, Ozawa and Wadade
No takes yet. Share an insight, caveat, or question.
Megumi Sano (2017) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: