Logarithmic refinements of a power weighted Hardy–Rellich-type inequality

Abstract

AbstractThe principal purpose of this note is to prove a logarithmic refinement of the power weighted Hardy–Rellich inequality on n-dimensional balls, valid for the largest variety of underlying parameters and for all dimensions $$n \in {\mathbb {N}}$$ n ∈ N , $$n\ge 2$$ n ≥ 2 .