Work

An improved discrete Rellich inequality on the half-line

Year: 2025

Type: article

Abstract: Based on a new idea of factorization, we prove an improved discrete Rellich inequality and discuss its optimality. We also give a conjecture on improved higher order discrete Hardy-like inequalities and formulate an open problem for the discrete Rellich inequality on the full space.

Source: Israel Journal of Mathematics

DOI: 10.1007/s11856-025-2790-6

Authors: Borbala Gerhat, David Krejčiřík, František Štampach

Institution: Czech Technical University in Prague

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funder: Grantová Agentura České Republiky