Martin-Luther-Universität Halle-Wittenberg


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8. Februar 2022

Filip Soudsky (TU Liberec)

Optimality of gradient-type estimates

First we remind some classical gradient-type estimates. We show that theese estimates cannot be improved within the class of Lebesgue spaces. We introduce a wider class of function spaces -the rearrangement-invariant spaces. We show some improved estimates that can be obtained within this class and discuss their optimality.

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