EXTENSION OF HARDY INEQUALITY ON WEIGHTED SEQUENCE SPACES

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LASHKARIPOUR R.; FOROUTANNIA D.

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Journal: Journal of Sciences, Islamic Republic of Iran Year:2009 | Volume:20 | Issue:2 Page(s): 159-166

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Information Journal Paper

Title

EXTENSION OF HARDY INEQUALITY ON WEIGHTED SEQUENCE SPACES

Author(s)

LASHKARIPOUR R. | FOROUTANNIA D. | Issue Writer Certificate

Keywords

HARDY INEQUALITYQ3

NORLUND MATRIXQ3

WEIGHTED MEAN MATRIXQ3

Abstract

Let p ³ 1 and ( Wn) n w be a sequence with non-negative entries. If (tn,k) ³0, denote by ||T||p,x the infimum of those U satisfying the following inequality:(S¥n=1wn(S¥k=1 tn,k ak)p)1/p £U (S¥k=1 WKAPK)1/P ,whenever ( an) ∈lp (w ) n p a ∈l w . The purpose of this paper is to give an upper bound for the norm of operator T on weighted sequence spaces d(w,p) and lp(w) and also e(w,¥). We considered this problem for certain matrix operators such as Norlund, Weighted mean, Ceasaro and Copson matrices. This problem is considered by some authors like Bennett, Jamson and the first author on sequence spaces lp and weighted sequence spaces for some kind of matrix operators. Also, this study is an extension of paper by Chang-Pao Chen, Dah-Chin Luor and Zong-Yin Ou.

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APA: Copy

LASHKARIPOUR, R., & FOROUTANNIA, D.. (2009). EXTENSION OF HARDY INEQUALITY ON WEIGHTED SEQUENCE SPACES. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, 20(2), 159-166. SID. https://sid.ir/paper/84101/en

Vancouver: Copy

LASHKARIPOUR R., FOROUTANNIA D.. EXTENSION OF HARDY INEQUALITY ON WEIGHTED SEQUENCE SPACES. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN[Internet]. 2009;20(2):159-166. Available from: https://sid.ir/paper/84101/en

IEEE: Copy

R. LASHKARIPOUR, and D. FOROUTANNIA, “EXTENSION OF HARDY INEQUALITY ON WEIGHTED SEQUENCE SPACES,” JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, vol. 20, no. 2, pp. 159–166, 2009, [Online]. Available: https://sid.ir/paper/84101/en

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