The optimal constant in Hardy-type inequalities

Authors
Chen, Mu-Fa
Citation
Chen, Mu-fa, The optimal constant in Hardy-type inequalities, Acta mathematica Sinica. English series (Print) , 31(5), 2015, pp. 731-754
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
31
Issue
5
Year of publication
2015
Pages
731 - 754
Database
ACNP
SICI code
Abstract
To estimate the optimal constant in Hardy-type inequalities, some variational formulas and approximating procedures are introduced. The known basic estimates are improved considerably. The results are illustrated by typical examples. It is shown that the sharp factor is meaningful for each finite interval and a classical sharp model is re-examined.