English

Finsler Hardy-Kato's inequality

Analysis of PDEs 2018-07-11 v1

Abstract

We prove an improved version of the trace-Hardy inequality, so-called Kato's inequality, on the half-space in Finsler context. The resulting inequality extends the former one obtained by \cite{AFV} in Euclidean context. Also we discuss the validity of the same type of inequalities on open cones.

Keywords

Cite

@article{arxiv.1807.03497,
  title  = {Finsler Hardy-Kato's inequality},
  author = {Angelo Alvino and Adele Ferone and Anna Mercaldo and Futoshi Takahashi and Roberta Volpicelli},
  journal= {arXiv preprint arXiv:1807.03497},
  year   = {2018}
}

Comments

16 pages

R2 v1 2026-06-23T02:55:55.449Z