Generalized noncommutative Hardy and Hardy-Hilbert type inequalities
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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Generalized noncommutative Hardy and Hardy-Hilbert type inequalities. / Hansen, Frank; Krulic, Kristina; Pecaric, Josip; Persson, Lars-Erik.
I: International Journal of Mathematics, Bind 21, Nr. 10, 2010, s. 1283-1295.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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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