Finsler Hardy-Kato's inequality

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:470

Article

Alvino, A.¹  Ferone, A.²  Mercaldo, A.¹  Takahashi, F.³  Volpicelli, R.¹ 

[1] Univ Napoli Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Complesso Monte S Angelo,Via Cintia, I-80126 Naples, Italy

[2] Univ Campania Vanvitelli, Dipartimento Matemat & Fis, Via Lincoln 5, I-81100 Caserta, Italy

[3] Osaka City Univ, Dept Math, Sumiyoshi Ku, 3-3-138 Sugimoto, Osaka 5588585, Japan

关键词: Trace-Hardy inequality;    Finsler norm;    Hyper-geometric function;   

DOI  :  10.1016/j.jmaa.2018.10.008

来源: Elsevier

【 摘 要 】

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 [3] in Euclidean context. Also we discuss the validity of the same type of inequalities on open cones. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free