On the interpolation constant for Orlicz spaces (Q2716117)
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scientific article; zbMATH DE number 1602174
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the interpolation constant for Orlicz spaces |
scientific article; zbMATH DE number 1602174 |
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On the interpolation constant for Orlicz spaces (English)
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6 June 2001
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Orlicz spaces
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interpolation constant
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interpolation of operators
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K-functional
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convex function
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concave function
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In this interesting paper the authors deal with the interpolation from Lebesgue spaces \(L^{p}\) and \(L^{q}\) into an Orlicz space \(L^{\varphi}\), where \(1\leq p<q\leq \infty\) and \(\varphi^{-1}(t)=t^{1/p}\rho(t^{1/q-1/p})\) for some concave function \(\rho\), with special attention to the interpolation constant \(C\). This result extends also the classical interpolation theorem of Orlicz.
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