sup (0<epsilon<p-1) psi(epsilon)parallel to f parallel to(p)(L)-epsilon(0,1) less than or similar to sup(0<t<1) S-psi(t)parallel to f parallel to L-(t,1)(p) , (*)
We prove that if p 1 and psi :]0, p - 1] ->]0,infinity[ is just nondecreasing and differentiable (hence not necessarily Delta 2), then for every f Lebesgue measurable function on (0, 1)
An estimate of the blow-up of Lebesgue norms in the non-tempered case
Fiorenza Alberto;
2021
Abstract
We prove that if p 1 and psi :]0, p - 1] ->]0,infinity[ is just nondecreasing and differentiable (hence not necessarily Delta 2), then for every f Lebesgue measurable function on (0, 1)File in questo prodotto:
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