scholarly journals Nearly hyperharmonic functions and Jensen measures

2019 ◽  
Vol 44 (1) ◽  
pp. 3-14 ◽  
Author(s):  
Wolfhard Hansen ◽  
Ivan Netuka
Keyword(s):  
Jensen Measures

scholarly journals Jensen measures and analytic multifunctions

2004 ◽  
Vol 42 (2) ◽  
pp. 335-352 ◽  
Author(s):  
Evgeny A. Poletsky
Keyword(s):  
Analytic Multifunctions ◽  
Jensen Measures

scholarly journals Jensen Measures in Potential Theory

2011 ◽  
Vol 37 (1) ◽  
pp. 79-90 ◽  
Author(s):  
Wolfhard Hansen ◽  
Ivan Netuka
Keyword(s):  
Potential Theory ◽  
Jensen Measures

scholarly journals Jensen measures and annihilators of holomorphic functions

2009 ◽  
Vol 53 (2) ◽  
pp. 679-690
Author(s):  
Nihat Gogus ◽  
Evgeny A. Poletsky
Keyword(s):  
Holomorphic Functions ◽  
Jensen Measures

scholarly journals Jensen measures and unbounded B-regular domains in {\mathbf{C}}^n

2008 ◽  
Vol 58 (4) ◽  
pp. 1383-1406 ◽  
Author(s):  
Quang Dieu Nguyen ◽  
Dau Hoang Hung
Keyword(s):  
Jensen Measures

scholarly journals Quasibounded plurisubharmonic functions

2021 ◽  
pp. 2150068
Author(s):  
Mårten Nilsson ◽  
Frank Wikström
Keyword(s):  
Harmonic Functions ◽  
Boundary Data ◽  
Dirichlet Problems ◽  
Plurisubharmonic Functions ◽  
Pluripolar Set ◽  
Jensen Measures ◽  
Generalized Dirichlet

We extend the notion of quasibounded harmonic functions to the plurisubharmonic setting. As an application, using the theory of Jensen measures, we show that certain generalized Dirichlet problems with unbounded boundary data admit unique solutions, and that these solutions are continuous outside a pluripolar set.

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