A generalization of the Lieb-Thirring inequalities in low dimensions
type: Item
instance of: scholarly article
title: A generalization of the Lieb-Thirring inequalities in low dimensions
zbMATH Open document ID: 1054.35043
author: Kazuya Tachizawa
published in: Hokkaido Mathematical Journal
publication date: 2004-03-08T00:00:00Z
review text: Certain degenerate partial differential operators \(L_0\) and multiplication operators \(V\) are considered. Here the rate of degeneracy of \(L_0\) is regulated by a weight in the class \(A_2\). A Lieb-Thirring inequality for the operators \(L_0+V\) is derived.
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 42B25
Mathematics Subject Classification ID: 42C15
Mathematics Subject Classification ID: 47F05
zbMATH DE Number: 2053128
zbMATH Keywords: elliptic operator
zbMATH Keywords: eigenvalues
zbMATH Keywords: \(\varphi\)-transform
zbMATH Keywords: \(A_p\)-weight
reviewed by: J. Brasche
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.14492/hokmj/1350657531
OpenAlex ID: W2096319072
DOI: 10.14492/HOKMJ/1350657531
Recommended article: A simple proof of the generalized Lieb-Thirring inequalities in one-space dimension
Recommended article: The Lieb–Thirring inequalities: Recent results and open problems
Recommended article: The Lieb-Thirring inequality revisited
Recommended article: A simple approach to Lieb-Thirring type inequalities
Recommended article: On inequalities of Lieb-Thirring type
Recommended article: Sharp Lieb-Thirring inequalities in high dimensions.
Recommended article: Lieb-Thirring inequalities with improved constants
Recommended article: Lieb-Thirring inequalities for wave functions vanishing on the diagonal set
Recommended article: On General Cwikel–Lieb–Rozenblum and Lieb–Thirring Inequalities
Recommended article: Lieb-Thirring inequalities on some manifolds
description: scientific article; zbMATH DE number 2053128