Nonlinear and multiplicative inequalities in Sobolev spaces associated with Lie algebras

Vladimir Georgiev, Sandra Lucente

研究成果: Article

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This paper is devoted to multiplicative inequalities in some generalized Sobolev spaces associated with Lie algebras. These Lie algebras are generated by the differential operator of variable coefficients or by pseudo-differential operators having non-regular symbols. Under geometrical assumptions we show that the norms of two suitable classes of generalized Sobolev spaces are equivalent. This leads to the proof that the composition operator u →

元の言語English
ページ(範囲)1574-1609
ページ数36
ジャーナルNonlinear Analysis, Theory, Methods and Applications
70
発行部数4
DOI
出版物ステータスPublished - 2009 2 15

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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