On a class of sharp multiplicative Hardy inequalities-Reference-Cited by-同舟云学术

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On a class of sharp multiplicative Hardy inequalities

Published:2021-05-11 Issue:3 Volume:32 Page:523-530
ISSN:1061-0022
Container-title:St. Petersburg Mathematical Journal
language:en
Short-container-title:St. Petersburg Math. J.

Author:

Guzu D.,Hoffmann-Ostenhof T.,Laptev A.

Abstract

A class of weighted Hardy inequalities is treated. The sharp constants depend on the lowest eigenvalues of auxiliary Schrödinger operators on a sphere. In particular, for some block radial weights these sharp constants are given in terms of the lowest eigenvalue of a Legendre type equation.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference11 articles.

1. On the number of negative eigenvalues of Schrödinger operators with an Aharonov-Bohm magnetic field;Balinsky, A. A.;R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci.,2001

2. A review of Hardy inequalities;Davies, E. B.,1999

3. Spectral estimates on the sphere;Dolbeault, Jean;Anal. PDE,2014

4. Spectral properties of Schrödinger operators on compact manifolds: rigidity, flows, interpolation and spectral estimates;Dolbeault, Jean;C. R. Math. Acad. Sci. Paris,2013

5. Magnetic rings;Dolbeault, Jean;J. Math. Phys.,2018

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