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Weight characterization of the boundedness for the Riemann-Liouville discrete transform
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نویسنده
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meskhi a. ,murtaza g.
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منبع
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journal of prime research in mathematics - 2013 - دوره : 9 - شماره : 1 - صفحه:34 -50
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چکیده
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We establish necessary and su±cient conditions on a weight sequence{vj}∞ j=1 governing the boundedness for the riemann-liouville discrete transform iα from lp(n) to lq vj(n)(trace inequality),where 0 < α < 1. the derived conditions are of d. adams or maz'ya-verbitsky (pointwise) type.
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کلیدواژه
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Discrete hardy operator; Discrete potentials; Riemann-Liouville discrete transform with product kernels; Trace inequality; Weighted inequality
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آدرس
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department of mathematical analysis,i. javakhishvili tbilisi state university,tbilisi,georgia,abdus salam school of mathematical sciences,gc university,68-b new muslim town, Pakistan, department of applied sciences,national textile university, Pakistan
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Authors
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