CRITICAL HARDY INEQUALITIES
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Date
2019
Authors
Ruzhansky, Michael
Suragan, Durvudkhan
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SUOMALAINEN TIEDEAKATEMIA
Abstract
We prove a range of critical Hardy inequalities and uncertainty type principles on one of most general subclasses of nilpotent Lie groups, namely the class of homogeneous groups. Moreover, we establish a new type of critical Hardy inequality and prove Hardy-Sobolev type inequalities. Most of the obtained estimates are new already for the case of R-n. For example, for any f is an element of C-0(infinity) (R-n \ { 0 }) we obtain the range of critical Hardy inequalities of the form
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Ruzhansky, M., Suragan, D. (2019). CRITICAL HARDY INEQUALITIES