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An embedding norm and the Lindqvist trigonometric functions

open access: yesElectronic Journal of Differential Equations, 2002
We shall calculate the operator norm $|T|_p$ of the Hardy operator $Tf = int_0^x f $, where $1le ple infty$. This operator is related to the Sobolev embedding operator from $W^{1,p}(0,1)/mathbb{C}$ into $W^p(0,1)/mathbb{C}$.
Christer Bennewitz, Yoshimi Saito
doaj  

Sobolev's embedding on time scales. [PDF]

open access: yesJ Inequal Appl, 2018
Ahmad N   +3 more
europepmc   +1 more source

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