Horizontal Weighted Hardy–Rellich Type Inequalities on Stratified Lie Groups
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This paper is devoted to present a version of horizontal weighted Hardy–Rellich type inequality on stratified Lie groups and study some of its consequences. In particular, Sobolev type spaces are defined on stratified Lie groups and proved embedding theorems for these functional spaces.
KeywordsHardy–Rellich inequality Caffarelli–Kohn–Nirenberg inequality Horizontal estimate Stratified group Sobolev type spaces Embedding theorem
Mathematics Subject Classification22E30 43A80
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