2 papers
math.AP2026
On a class of sharp Sobolev type estimates with weights
Raul Hindov, Evgeniy Lokharu
We study sharp weighted Sobolev-type inequalities of the form\[ \int_{0}^{1}|u(x)|Ï(x) \,\mathrm{d}x \leqslant Î \Bigl(\int_{0}^{1}|u^{(k)}(x)|^2 \,\mathrm{d}x \Bigr)^{1/2}, \qqu…
math.FA2024
A sharp higher order Sobolev embedding
Raul Hindov, Shahaf Nitzan, Jan-Fredrik Olsen +1
We obtain sharp embeddings from the Sobolev space into the space and determine the extremal functions. This improves on a previous estimate of the sha…