Corpus ID: 119594986

Hardy, Hardy-Sobolev, Hardy-Littlewood-Sobolev and Caffarelli-Kohn-Nirenberg inequalities on general Lie groups

@article{Ruzhansky2018HardyHH,
  title={Hardy, Hardy-Sobolev, Hardy-Littlewood-Sobolev and Caffarelli-Kohn-Nirenberg inequalities on general Lie groups},
  author={Michael Ruzhansky and Nurgissa Yessirkegenov},
  journal={arXiv: Functional Analysis},
  year={2018}
}
In this paper we obtain two-weight Hardy inequalities on general metric measure spaces possessing polar decompositions. Moreover, we also find necessary and sufficient conditions for the weights for such inequalities to be true. As a consequence, we establish Hardy, Hardy-Sobolev, Hardy-Littlewood-Sobolev, Caffarelli-Kohn-Nirenberg, Gagliardo-Nirenberg inequalities and their critical versions on general connected Lie groups, which include both unimodular and non-unimodular cases in compact and… Expand
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