Sharp Hardy inequalities in an exterior of a ball
Nikolai Kutev, Tsviatko Rangelov
TL;DR
This paper establishes new Hardy inequalities in exterior regions of a ball, demonstrating their sharpness and extending the understanding of Hardy inequalities in sectorial and exterior domains.
Contribution
It introduces new Hardy inequalities in exterior of a ball and proves their sharpness, extending classical results to new geometric settings.
Findings
Hardy inequalities are valid in exterior of a ball
The inequalities are shown to be sharp
Extensions to sectorial areas are provided
Abstract
New Hardy type inequalities in sectorial area and as a limit in an exterior of a ball are proved. Sharpness of the inequalities is shown as well.
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