Abstract
Hardy-Sobolev-type inequalities associated with the operator $L:=\textbf{{x}} \cdot \nabla $ are established, using an improvement to the Sobolev embedding theorem obtained by M. Ledoux. The analysis involves the determination of the operator semigroup $\{e^{-tL^{*}L}\}_{0\neq t \geq 0}.$
Citation
A. Balinsky. W. D. Evans. D. Hundertmark. R. T. Lewis. "On inequalities of Hardy-Sobolev type." Banach J. Math. Anal. 2 (2) 94 - 106, 2008. https://doi.org/10.15352/bjma/1240336296
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