On a reverse Hölder inequality for Schrödinger operators

Seongyeon Kim; Ihyeok Seo

doi:10.1007/s00013-021-01682-1

On a reverse Hölder inequality for Schrödinger operators

Seongyeon Kim
, Ihyeok Seo

Department of Mathematics

Korea Institute for Advanced Study

Research output: Contribution to journal › Article › peer-review

Abstract

We obtain a reverse Hölder inequality for the eigenfuctions of the Schrödinger operator with slowly decaying potentials. The class of potentials includes singular potentials which decay like | x| ^-^α with 0 < α< 2 , in particular the Coulomb potential.

Original language	English
Pages (from-to)	195-204
Number of pages	10
Journal	Archiv der Mathematik
Volume	118
Issue number	2
DOIs	https://doi.org/10.1007/s00013-021-01682-1
State	Published - Feb 2022

Keywords

Fefferman-Phong inequality
Reverse Hölder inequality
Schrödinger operator

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10.1007/s00013-021-01682-1

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title = "On a reverse H{\"o}lder inequality for Schr{\"o}dinger operators",

abstract = "We obtain a reverse H{\"o}lder inequality for the eigenfuctions of the Schr{\"o}dinger operator with slowly decaying potentials. The class of potentials includes singular potentials which decay like | x| -α with 0 < α< 2 , in particular the Coulomb potential.",

keywords = "Fefferman-Phong inequality, Reverse H{\"o}lder inequality, Schr{\"o}dinger operator",

author = "Seongyeon Kim and Ihyeok Seo",

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year = "2022",

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doi = "10.1007/s00013-021-01682-1",

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AU - Seo, Ihyeok

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AB - We obtain a reverse Hölder inequality for the eigenfuctions of the Schrödinger operator with slowly decaying potentials. The class of potentials includes singular potentials which decay like | x| -α with 0 < α< 2 , in particular the Coulomb potential.

KW - Fefferman-Phong inequality

KW - Reverse Hölder inequality

KW - Schrödinger operator

UR - https://www.scopus.com/pages/publications/85119973640

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DO - 10.1007/s00013-021-01682-1

M3 - Article

AN - SCOPUS:85119973640

SN - 0003-889X

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EP - 204

JO - Archiv der Mathematik

JF - Archiv der Mathematik

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On a reverse Hölder inequality for Schrödinger operators

Abstract

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