24 citations · 39 across the 7 of their papers we have counts for
8 papers
Optimal Power-Weighted Birman--Hardy--Rellich-type Inequalities on Finite Intervals and Annuli
Fritz Gesztesy, Michael M. H. Pang
We derive an optimal power-weighted Hardy-type inequality in integral form on finite intervals and subsequently prove the analogous inequality in differential form. We note that th…
On domain properties of Bessel-type operators
Fritz Gesztesy, Michael M. H. Pang, Jonathan Stanfill
Motivated by a recent study of Bessel operators in connection with a refinement of Hardy's inequality involving on the finite interval , we now take a closer l…
Bessel-Type Operators and a refinement of Hardy's inequality
Fritz Gesztesy, Michael M. H. Pang, Jonathan Stanfill
The principal aim of this paper is to employ Bessel-type operators in proving the inequality \begin{align*} \int_0^πdx \, |f'(x)|^2 \geq \dfrac{1}{4}\int_0^πdx \, \dfrac{|f(x)|^2}{…
A Sequence of Weighted Birman-Hardy-Rellich Inequalities with Logarithmic Refinements
Fritz Gesztesy, Lance L. Littlejohn, Isaac Michael +1
The principal aim of this paper is to extend Birman's sequence of integral inequalities originally obtained in 1961, and containing Hardy's and Rellich's inequality as special case…
On Weighted Hardy-Type Inequalities
Chian Yeong Chuah, Fritz Gesztesy, Lance L. Littlejohn +3
We revisit weighted Hardy-type inequalities employing an elementary ad hoc approach that yields explicit constants. We also discuss the infinite sequence of power weighted Birman-H…
On Positivity Preserving, Translation Invariant, Operators in
Fritz Gesztesy, Michael M. H. Pang
We characterize positivity preserving, translation invariant, linear operators in , , .