Morrey--Sobolev inequalities with power weights on the half-space
Authors
Jean Van Schaftingen
Leon Winter
Abstract
Morrey--Sobolev inequalities are established for functions in weighted Sobolev spaces on the $n$-dimensional half-space, where the weight is a power of the distance to the boundary, as well as for Sobolev spaces on the $n$-dimensional hyperbolic space. All the estimates are optimal up to a multiplicative constant.
