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A General Norm on Extension of a Hilbert’s Type Linear Operator
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نویسنده
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Jokar Z. ,Behboodian Javad
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منبع
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journal of mathematical extension - 2010 - دوره : 5 - شماره : 1 - صفحه:1 -12
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چکیده
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The main purpose of this paper is to study a general norm on extension of a hilbert’s type linear operator in the continuous and discrete form. in addition to expressing the norm of a hilbert’s typelinear operator t : l^2(0,∞) l^2(0,∞), a more general case with λ> 0, for the continuous form has been studied. by putting λ= 1 a norm of extension of hilbert’s integral linear operator is obtained. similar results have been expressed for series when 0 < λ ≤6 2.
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کلیدواژه
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Beta function ,inner product ,Holder’s inequality ,norm ,Hilbert’s inequality ,extension of Hilbert’s inequality ,extension of Hilbert’s type linear operator.
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آدرس
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islamic azad university, Department of Mathematics, ایران. islamic azad university, Young Researcher Club, ایران, islamic azad university, Department of Mathematics, ایران
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پست الکترونیکی
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behboodian@susc.ac.ir
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Authors
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