TAILIEUCHUNG - Subextension of plurisubharmonic functions with boundary values in weighted pluricomplex energy classes

In this paper, we investigate subextension of plurisubharmonic functions in the weighted pluricomplex energy class Eχ (", f). Moreover, we show the equality of the weightedMonge–Ampère measures of subextension and the given function. | Complex Variables and Elliptic Equations An International Journal ISSN 1747-6933 Print 1747-6941 Online Journal homepage http loi gcov20 Subextension of plurisubharmonic functions with boundary values in weighted pluricomplex energy classes Le Mau Hai Nguyen Xuan Hong amp Trieu Van Dung To cite this article Le Mau Hai Nguyen Xuan Hong amp Trieu Van Dung 2015 Subextension of plurisubharmonic functions with boundary values in weighted pluricomplex energy classes Complex Variables and Elliptic Equations 60 11 1580-1593 DOI To link to this article http Published online 06 May 2015. Submit your article to this journal Article views 14 View related articles View Crossmark data Full Terms amp Conditions of access and use can be found at http action journalInformation journalCode gcov20 Download by Hong Nguyen Xuan Date 19 September 2015 At 03 33 Complex Variables and Elliptic Equations 2015 Vol. 60 No. 11 1580 1593 http Subextension of plurisubharmonic functions with boundary values in weighted pluricomplex energy classes Le Mau Haia Nguyen Xuan Honga and Trieu Van Dungb a Department of Mathematics Hanoi National University of Education Hanoi Vietnam b Hung Vuong Gifted High School Viettri City Phutho Vietnam Communicated by S. Krantz Received 16 May 2014 accepted 27 March 2015 Downloaded by Hong Nguyen Xuan at 03 33 19 September 2015 In this paper we investigate subextension of plurisubharmonic functions in the weighted pluricomplex energy class Eχ quot f . Moreover we show the equality of the weighted Monge Ampère measures of subextension and the given function. Keywords weighted pluricomplex energy classes complex Monge Ampère operator subextension of plurisubharmonic functions AMS Subject Classifications 32U05 32U15 32W20 1. Introduction Subextension of unbounded plurisubharmonic functions with estimation on total .

• Vật lý
• Subextension of plurisubharmonic functions
• Boundary values
• Weighted pluricomplex energy classes
• Complex Monge–Ampère operator
• Bài viết nghiên cứu khoa học
• Plurisubharmonic functions
• Monge–Ampère measures
• Investigate subextensions