Morrey--Sobolev inequalities with power weights on the half-space

Jean Van Schaftingen; Leon Winter

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arXiv · 2510.19534

Morrey--Sobolev inequalities with power weights on the half-space

Jean Van Schaftingen·Leon Winter

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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.

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BibTeX RIS

Jean Van Schaftingen, Leon Winter. 2025-10-22. Morrey--Sobolev inequalities with power weights on the half-space. https://arxiv.org/abs/2510.19534

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