A note on the Sobolev trace inequality

2021 ◽  
Author(s):  
Pak Tung Ho
Keyword(s):  
Trace Inequality

A Conditional Trace Inequality (Paul A. Roediger)

SIAM Review ◽  
1996 ◽  
Vol 38 (2) ◽  
pp. 324-326 ◽  
Author(s):  
R. R. Burnside ◽  
William C. Waterhouse
Keyword(s):  
Trace Inequality

scholarly journals A trace inequality for generalized potentials in Lebesgue spaces with variable exponent

2004 ◽  
Vol 2 (1) ◽  
pp. 55-69 ◽  
Author(s):  
David E. Edmunds ◽  
Vakhtang Kokilashvili ◽  
Alexander Meskhi
Keyword(s):  
Variable Exponent ◽  
Homogeneous Type ◽  
Trace Inequality ◽  
Spaces Of Homogeneous Type ◽  
Weighted Inequality ◽  
Euclidean Spaces ◽  
Riesz Potentials ◽  
Lebesgue Spaces ◽  
Fractal Sets

A trace inequality for the generalized Riesz potentialsIα(x)is established in spacesLp(x)defined on spaces of homogeneous type. The results are new even in the case of Euclidean spaces. As a corollary a criterion for a two-weighted inequality in classical Lebesgue spaces for potentialsIα(x)defined on fractal sets is derived.

scholarly journals A trace inequality for generalized potentials

1973 ◽  
Vol 48 (1) ◽  
pp. 99-105 ◽  
Author(s):  
David Adams
Keyword(s):  
Trace Inequality

A Trace Inequality for Symmetric Nonnegative Definite Matrices

2011 ◽  
Vol 225-226 ◽  
pp. 970-973
Author(s):  
Shi Qing Wang
Keyword(s):  
Control Theory ◽  
Communication Systems ◽  
Positive Definite ◽  
Trace Inequality ◽  
Positive Definite Matrices ◽  
Symmetric Positive Definite ◽  
Multiple Input ◽  
Nonnegative Definite ◽  
Symmetric Positive Definite Matrices ◽  
Trace Inequalities

Trace inequalities naturally arise in control theory and in communication systems with multiple input and multiple output. One application of Belmega’s trace inequality has already been identified [3]. In this paper, we extend the symmetric positive definite matrices of his inequality to symmetric nonnegative definite matrices, and the inverse matrices to Penrose-Moore inverse matrices.

scholarly journals A trace inequality arising from quantum information theory

2005 ◽  
Vol 400 ◽  
pp. 141-146 ◽  
Author(s):  
Jun Ichi Fujii
Keyword(s):  
Information Theory ◽  
Quantum Information ◽  
Quantum Information Theory ◽  
Trace Inequality

Weighted Hardy–Littlewood–Sobolev inequalities on the upper half space

2016 ◽  
Vol 18 (05) ◽  
pp. 1550067 ◽  
Author(s):  
Jingbo Dou
Keyword(s):  
Half Space ◽  
Type Inequality ◽  
Boundary Term ◽  
Sobolev Inequalities ◽  
Extremal Functions ◽  
Biharmonic Operator ◽  
Trace Inequality ◽  
Hardy Type Inequality ◽  
Hardy Type

In this paper, we establish a weighted Hardy–Littlewood–Sobolev (HLS) inequality on the upper half space using a weighted Hardy type inequality on the upper half space with boundary term, and discuss the existence of extremal functions based on symmetrization argument. As an application, we can show a weighted Sobolev–Hardy trace inequality with [Formula: see text]-biharmonic operator.

scholarly journals MATRIX TRACE INEQUALITIES RELATED TO UNCERTAINTY PRINCIPLE

2005 ◽  
Vol 16 (06) ◽  
pp. 629-645 ◽  
Author(s):  
HIDEKI KOSAKI
Keyword(s):  
Uncertainty Principle ◽  
Recent Article ◽  
Trace Inequality ◽  
The Matrix ◽  
Trace Inequalities ◽  
Matrix Trace

In their recent article, Luo and Zhang conjectured the matrix trace inequality mentioned in the introduction below, which is motivated by uncertainty principle. We present a proof for the conjectured inequality.

On the Ando-Hiai-Okubo trace inequality

2017 ◽  
Vol 77 (1) ◽  
pp. 77-86 ◽  
Author(s):  
Mostafa Hayajneh ◽  
Saja Hayajneh ◽  
Kittaneh Fuad
Keyword(s):  
Trace Inequality
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