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- Publisher
- Springer Journals
- Copyright
- Copyright © 2011 by Springer
- Subject
- Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics
- ISSN
- 1678-7544
- eISSN
- 1678-7714
- DOI
- 10.1007/s00574-011-0010-y
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, sufficient and necessary conditions for a class of first order interpolation inequalities with weights on the H-type group are given. By polar coordinate changes of the H-type group, the necessity is verified. A class of Hardy type inequalities is established via a representation formula for functions, Hardy-Sobolev type inequalities are obtained by interpolation and then the sufficiency is completed through discussion of parameter σ.
Journal
Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals
Published: Sep 15, 2011