Lower bounds for matrices on block weighted sequence spaces. I
Czechoslovak Mathematical Journal, Tome 59 (2009) no. 1, pp. 81-94
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
In this paper we consider some matrix operators on block weighted sequence spaces $l_p(w,F)$. The problem is to find the lower bound of some matrix operators such as Hausdorff and Hilbert matrices on $l_p(w,F)$. This study is an extension of papers by G. Bennett, G.J.O. Jameson and R. Lashkaripour.
In this paper we consider some matrix operators on block weighted sequence spaces $l_p(w,F)$. The problem is to find the lower bound of some matrix operators such as Hausdorff and Hilbert matrices on $l_p(w,F)$. This study is an extension of papers by G. Bennett, G.J.O. Jameson and R. Lashkaripour.
Classification :
26D15, 46B45, 47B37
Keywords: block weighted sequence spaces; lower bound; inequality; Hausdorff matrix; Hilbert matrix
Keywords: block weighted sequence spaces; lower bound; inequality; Hausdorff matrix; Hilbert matrix
@article{CMJ_2009_59_1_a5,
author = {Lashkaripour, R. and Foroutannia, D.},
title = {Lower bounds for matrices on block weighted sequence spaces. {I}},
journal = {Czechoslovak Mathematical Journal},
pages = {81--94},
year = {2009},
volume = {59},
number = {1},
mrnumber = {2486617},
zbl = {1217.47065},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2009_59_1_a5/}
}
Lashkaripour, R.; Foroutannia, D. Lower bounds for matrices on block weighted sequence spaces. I. Czechoslovak Mathematical Journal, Tome 59 (2009) no. 1, pp. 81-94. http://geodesic.mathdoc.fr/item/CMJ_2009_59_1_a5/