Lower bounds for matrices on block weighted sequence spaces. I
R. Lashkaripour; D. Foroutannia
Czechoslovak Mathematical Journal (2009)
- Volume: 59, Issue: 1, page 81-94
- ISSN: 0011-4642
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topLashkaripour, R., and Foroutannia, D.. "Lower bounds for matrices on block weighted sequence spaces. I." Czechoslovak Mathematical Journal 59.1 (2009): 81-94. <http://eudml.org/doc/37909>.
@article{Lashkaripour2009,
abstract = {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.},
author = {Lashkaripour, R., Foroutannia, D.},
journal = {Czechoslovak Mathematical Journal},
keywords = {block weighted sequence spaces; lower bound; inequality; Hausdorff matrix; Hilbert matrix; block weighted sequence space; lower bound; inequality; Hausdorff matrix; Hilbert matrix},
language = {eng},
number = {1},
pages = {81-94},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Lower bounds for matrices on block weighted sequence spaces. I},
url = {http://eudml.org/doc/37909},
volume = {59},
year = {2009},
}
TY - JOUR
AU - Lashkaripour, R.
AU - Foroutannia, D.
TI - Lower bounds for matrices on block weighted sequence spaces. I
JO - Czechoslovak Mathematical Journal
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 1
SP - 81
EP - 94
AB - 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.
LA - eng
KW - block weighted sequence spaces; lower bound; inequality; Hausdorff matrix; Hilbert matrix; block weighted sequence space; lower bound; inequality; Hausdorff matrix; Hilbert matrix
UR - http://eudml.org/doc/37909
ER -
References
top- Bennett, G., Factorizing the Classical Inequalities, Mem. Amer. Math. Soc. 576 (1996). (1996) Zbl0857.26009MR1317938
- Foroutannia, D., Lashkaripour, R., Lower bounds for summability matrices on weighted sequence spaces, Lobachevskii J. Math 27 (2007), 15-29. (2007) Zbl1158.47021MR2396994
- Hardy, G. H., Littlewood, J. E., Pólya, G., Inequalities, 2nd edition, Cambridge University Press Cambridge (1988). (1988) MR0944909
- Jameson, G. J. O., Lashkaripour, R., 10.1017/S0017089500020061, Glasg. Math. J. 42 (2000), 211-223. (2000) MR1763740DOI10.1017/S0017089500020061
- Jameson, G. J. O., Lashkaripour, R., Norms of certain operators on weighted spaces and Lorentz sequence spaces, JIPAM, J. Inequal. Pure Appl. Math. 3 (2002), Electronic only. (2002) Zbl1021.47019MR1888921
- Lashkaripour, R., Foroutannia, D., 10.1007/BF02829749, Proc. Indian Acad. Sci., Math. Sci. 116 (2006), 325-336. (2006) Zbl1118.47024MR2256009DOI10.1007/BF02829749
- Lashkaripour, R., Foroutannia, D., Norm and lower bounds of operators on weighted sequence spaces, Math. Vesn. 59 (2007), 47-56. (2007) MR2328828
- Lashkaripour, R., Foroutannia, D., Some inequalities involving upper bounds for some matrix operators I, Czechoslovak Math. J 57 (2007), 553-572. (2007) Zbl1174.15017MR2337614
- Pečarić, J., Perić, I., Roki, R., On bounds for weighted norms for matrices and integral operators, Linear Algebra Appl. 326 (2001), 121-135. (2001) MR1815954
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