Julien Brasseur

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20152025

most citedA Bourgain-Brezis-Mironescu characterization of higher order Besov-Nikol'skii spaces

5 citations · 6 across the 6 of their papers we have counts for

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math.FA2025

How smooth are restrictions of Besov functions?

Julien Brasseur

In a previous work, we showed that Besov spaces do not enjoy the restriction property unless $q \leq p$ . Specifically, we proved that if $p < q$ , then it is always possible to constru…

math.FA2017★ 1 cited

On restrictions of Besov functions

Julien Brasseur

In this paper, we study the smoothness of restrictions of Besov functions. It is known that for any $f \in B_p, q^{s} (R^{N})$ with $q \leq p$ we have $f(\cdot,y)\in B\_{p,q}^s…

math.FA2016★ 5 cited

A Bourgain-Brezis-Mironescu characterization of higher order Besov-Nikol'skii spaces

Julien Brasseur

We study a class of nonlocal functionals in the spirit of the recent characterization of the Sobolev spaces $W^{1, p}$ derived by Bourgain, Brezis and Mironescu. We show that it pro…