Generalized noncommutative Hardy and Hardy-Hilbert type inequalities

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Generalized noncommutative Hardy and Hardy-Hilbert type inequalities. / Hansen, Frank; Krulic, Kristina; Pecaric, Josip; Persson, Lars-Erik.

In: International Journal of Mathematics, Vol. 21, No. 10, 2010, p. 1283-1295.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Hansen, F, Krulic, K, Pecaric, J & Persson, L-E 2010, 'Generalized noncommutative Hardy and Hardy-Hilbert type inequalities', International Journal of Mathematics, vol. 21, no. 10, pp. 1283-1295. https://doi.org/10.1142/S0129167X10006501

APA

Hansen, F., Krulic, K., Pecaric, J., & Persson, L-E. (2010). Generalized noncommutative Hardy and Hardy-Hilbert type inequalities. International Journal of Mathematics, 21(10), 1283-1295. https://doi.org/10.1142/S0129167X10006501

Vancouver

Hansen F, Krulic K, Pecaric J, Persson L-E. Generalized noncommutative Hardy and Hardy-Hilbert type inequalities. International Journal of Mathematics. 2010;21(10):1283-1295. https://doi.org/10.1142/S0129167X10006501

Author

Hansen, Frank ; Krulic, Kristina ; Pecaric, Josip ; Persson, Lars-Erik. / Generalized noncommutative Hardy and Hardy-Hilbert type inequalities. In: International Journal of Mathematics. 2010 ; Vol. 21, No. 10. pp. 1283-1295.

Bibtex

@article{00765e50e8bb11dfb6d2000ea68e967b,
title = "Generalized noncommutative Hardy and Hardy-Hilbert type inequalities",
abstract = "We extend and unify several Hardy type inequalities to functions whose values are positive semi-definite operators. In particular, our methods lead to the operator versions of Hardy-Hilbert's and Godunova's inequalities. While classical Hardy type inequalities hold for parameter values p > 1, it is typical that the operator versions hold only for 1 < p = 2, even for functions with values in 2 × 2 matrices.",
keywords = "Faculty of Social Sciences, inequalities, Hardy–Hilbert's inequality, Godunova's inequality, weights, positive operator, operator convex functions",
author = "Frank Hansen and Kristina Krulic and Josip Pecaric and Lars-Erik Persson",
year = "2010",
doi = "10.1142/S0129167X10006501",
language = "English",
volume = "21",
pages = "1283--1295",
journal = "International Journal of Mathematics",
issn = "0129-167X",
publisher = "World Scientific Publishing Co. Pte. Ltd.",
number = "10",

}

RIS

TY - JOUR

T1 - Generalized noncommutative Hardy and Hardy-Hilbert type inequalities

AU - Hansen, Frank

AU - Krulic, Kristina

AU - Pecaric, Josip

AU - Persson, Lars-Erik

PY - 2010

Y1 - 2010

N2 - We extend and unify several Hardy type inequalities to functions whose values are positive semi-definite operators. In particular, our methods lead to the operator versions of Hardy-Hilbert's and Godunova's inequalities. While classical Hardy type inequalities hold for parameter values p > 1, it is typical that the operator versions hold only for 1 < p = 2, even for functions with values in 2 × 2 matrices.

AB - We extend and unify several Hardy type inequalities to functions whose values are positive semi-definite operators. In particular, our methods lead to the operator versions of Hardy-Hilbert's and Godunova's inequalities. While classical Hardy type inequalities hold for parameter values p > 1, it is typical that the operator versions hold only for 1 < p = 2, even for functions with values in 2 × 2 matrices.

KW - Faculty of Social Sciences

KW - inequalities

KW - Hardy–Hilbert's inequality

KW - Godunova's inequality

KW - weights

KW - positive operator

KW - operator convex functions

U2 - 10.1142/S0129167X10006501

DO - 10.1142/S0129167X10006501

M3 - Journal article

VL - 21

SP - 1283

EP - 1295

JO - International Journal of Mathematics

JF - International Journal of Mathematics

SN - 0129-167X

IS - 10

ER -

ID: 22952728