English

Carleson measures for Hardy-Sobolev spaces in the Siegel upper half-space

Complex Variables 2024-05-22 v1 Functional Analysis

Abstract

We give a capacitary type characterization of Carleson measures for a class of Hardy-Sobolev spaces (also known as weighted Dirichlet spaces) on the Siegel upper half-space, introduced by Arcozzi et al. This answers in part a question raised by the same authors.

Keywords

Cite

@article{arxiv.2405.12576,
  title  = {Carleson measures for Hardy-Sobolev spaces in the Siegel upper half-space},
  author = {Nikolaos Chalmoukis and Giuseppe Lamberti},
  journal= {arXiv preprint arXiv:2405.12576},
  year   = {2024}
}