Computation of the norm of an operator in Lorentz spaces (Q2723278)
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scientific article; zbMATH DE number 1614385
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Computation of the norm of an operator in Lorentz spaces |
scientific article; zbMATH DE number 1614385 |
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5 July 2001
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norm
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bounded linear operator
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Lorentz space
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Computation of the norm of an operator in Lorentz spaces (English)
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The author calculates explicitly the norm of the bounded linear operator \(Ax(t, s)= x(t)- x(s)\) in the Lebesgue space \(L_p[0,1]\) and in the Lorentz space \(A_\varphi[0,1]\). In particular, she gives sufficient conditions on the function \(\varphi\) under which \(\|A\|_{\Lambda_\varphi}< 2\).
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0.7731196880340576
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0.7726755142211914
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0.7564637064933777
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