Caffarelli-Kohn-Nirenberg and Sobolev type inequalities on stratified Lie groups
classification
🧮 math.FA
keywords
inequalitiessobolevtypecaffarelli-kohn-nirenberggroupsinequalitystratifiedcase
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In this short paper, we establish a range of Caffarelli-Kohn-Nirenberg and weighted $L^{p}$-Sobolev type inequalities on stratified Lie groups. All inequalities are obtained with sharp constants. Moreover, the equivalence of the Sobolev type inequality and Hardy inequality is shown in the $L^{2}$-case.
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