Sobolev Spaces on Quasi-K?hler Complex Varieties


Haisheng LIU;Center of Mathematical Sciences, Zhejiang University;


Center of Mathematical Sciences, Zhejiang University;


If V is an irreducible quasi-K?hler complex variety and E is a vector bundle over reg(V), the author proves that W_(0)~(1,2)(reg(V), E) = W~(1,2)(reg(V), E), and that for dimcreg(V) > 1, the natural inclusion W~(1,2)■(reg(V), E)L~2(reg(V), E) is compact, the natural inclusion W~(1,2)(reg(V), E)■ (reg(V), E) is continuous.


Quasi-K?hler variety;;Sobolev spaces


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Springer Journals Database

Total: 7 articles

  • [1] Zur Differentialgeometrie der komplexen Strukturen, Mathematische Annalen,
  • [2] Peter Li;;Gang Tian, On the heat kernel of the Bergmann metric on algebraic varieties, jams,
  • [3] Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: II, Annals of Mathematics,
  • [4] Ken-Ichi Yoshikawa, Degeneration of algebraic manifolds and the spectrum of Laplacian, Nagoya Mathematical Journal,


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