Maximal q-Plurisubharmonic Functions in ${\mathbb{C}^{n}}$

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• 作者：Le Mau Hai (1)
  Nguyen Xuan Hong (1)
  
• 关键词：Primary 32U05 ; Maximal plurisubharmonic functions ; maximal q ; plurisubharmonic functions ; weakly q ; plurisubharmonic functions ; maximal weakly q ; plurisubharmonic functions
• 刊名：Results in Mathematics
• 出版年：2013
• 出版时间：2 - February 2013
• 年：2013
• 卷：63
• 期：1
• 页码：63-77
• 全文大小：248KB
• 参考文献：1. Andreotti A., Grauert H.: Th茅or猫me de finitude pour la cohomologie des espaces complexes. Bull. Soc. Math. Frace 90, 193鈥?59 (1962)
  2. Blocki, Z.: The complex Monge鈥揂mp猫re Operator in Pluripotential Theory. In: Lectures notes (1998) (unpublished). http://gamma.im.uj.edu.pl/~Blocki
  3. Blocki Z.: A note on maximal plurisubharmonic functions. Uzbek Math. J. N1, 28鈥?2 (2009)
  4. Hunt L.R., Murray J.J.: q-plurisubharmonic functions and a generalized Dirichlet problem. Mich. Math. J. 25(3), 171鈥?84 (1978)
  5. Klimek M.: Pluripotential Theory. Clarendon press, Oxford (1991)
  6. Slodkowski Z.: The Bremermann鈥揇irichlet problem for q-plurisubharmonic functions. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 11(2), 303鈥?26 (1984)
  
• 作者单位：Le Mau Hai (1)
  Nguyen Xuan Hong (1)
  
  1. Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy Street, Caugiay District, Ha Noi, Viet Nam
  
• ISSN：1420-9012

文摘

In this paper we will study maximal q-plurisubharmonic functions in ${\mathbb{C}^n}$ . At the same time, we define a notion above weakly q-plurisubharmonic functions and describe the relation between these functions and maximal q-plurisubharmonic functions.