Anatole Gaudin

activity

20222026

most citedOn homogeneous Sobolev and Besov spaces on the whole and the half space

8 citations · 9 across the 7 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.AP2023

Homogeneous Sobolev and Besov spaces on special Lipschitz domains and their traces

Anatole Gaudin

We aim to contribute to the folklore of function spaces on Lipschitz domains. We prove the boundedness of the trace operator for homogeneous Sobolev and Besov spaces on a special L…

math.AP2023

Hodge decompositions and maximal regularities for Hodge Laplacians in homogeneous function spaces on the half-space

Anatole Gaudin

In this article, the Hodge decomposition for any degree of differential forms is investigated on the whole space $R^{n}$ and the half-space $R_{+}^{n}$ on different sca…

math.AP2023★ 1 cited

Homogeneous Sobolev global-in-time maximal regularity and related trace estimates

Anatole Gaudin

In this paper, we prove global-in-time $H ˙^{α, q}$ -maximal regularity for a class of injective, but not invertible, sectorial operators on a UMD Banach space X , provi…