English

Continuity of functions in complex Sobolev spaces

Complex Variables 2024-06-25 v2 Differential Geometry

Abstract

We study the continuity regularity of functions in the complex Sobolev spaces. As applications, we obtain Hermitian generalizations of a recent result due Guedj-Guenancia-Zeriahi on the diameters of Kaehler metrics.

Keywords

Cite

@article{arxiv.2312.01635,
  title  = {Continuity of functions in complex Sobolev spaces},
  author = {Duc-Viet Vu},
  journal= {arXiv preprint arXiv:2312.01635},
  year   = {2024}
}

Comments

to appear in Pure Appl. Math. Q

R2 v1 2026-06-28T13:39:57.227Z