Geodesic
Lower bounds for summability matrices on weighted sequence spaces
Lobachevskii journal of mathematics, Tome 27 (2007), pp. 15-29.

Voir la notice de l'article provenant de la source Math-Net.Ru

The purpose of this paper is finding a lower bound for summability matrix operators on sequence spaces $l_p(w)$ and Lorentz sequence spaces $d(w,p)$ and also the sequence space $e(w,\infty)$. Also, this study is an extension of some works of Bennett. 
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D. Foroutannia; R. Lashkaripour. Lower bounds for summability matrices on weighted sequence spaces. Lobachevskii journal of mathematics, Tome 27 (2007), pp. 15-29. http://geodesic.mathdoc.fr/item/LJM_2007_27_a1/

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[2] G. H. Hardy, J. E. Littlewood and G. Polya, Inequalities, 2nd edition, Cambridge University press, Cambridge, 2001

[3] G. J. O. Jameson and R. Lashkaripour, “Lower bounds of operators on weighted $l_p$ spaces and Lorentz sequence spaces”, Glasgow Math. J., 42 (2000), 211–223 | DOI | MR | Zbl

[4] G. J. O. Jameson and R. Lashkaripour, “Norms of certain operators on weighted $l_p$ spaces and Lorentz sequence spaces”, J. Inequalities in Pure and Applied Mathematics, 3:1 (2002), Article 6 | MR

[5] R. Lashkaripour and D. Foroutannia, “Inequalities involving upper bounds for certain matrix operators”, Proc. Indian Acad. Sci.(Math. Sci.), 116 (2006), 325–336 | DOI | MR | Zbl

[6] R. Lashkaripour and D. Foroutannia, “Lower bounds for matrices on weighted sequence spaces”, Journal of Sciences, Islamic Republic of Iran, 18:1 (2007), 49–56 | MR

[7] R. Lashkaripour and D. Foroutannia, “Some inequalities involving upper bounds for some matrix operators I”, Czech. Math. J., 57(132):2 (2007), 553–572 | DOI | MR