Extension of S-plurisubharmonic currents across zero sets of plurisubharmonic functions

2018 ◽  
Vol 64 (8) ◽  
pp. 1345-1352
Author(s):  
Ahmad K. Al Abdulaali ◽  
Hassine El Mir
Keyword(s):  
Plurisubharmonic Functions ◽  
Zero Sets

Zero sets of non-negative strictly plurisubharmonic functions

1973 ◽  
Vol 201 (2) ◽  
pp. 165-170 ◽  
Author(s):  
F. Reese Harvey ◽  
R. O. Wells
Keyword(s):  
Plurisubharmonic Functions ◽  
Zero Sets

Minimum Principle for Plurisubharmonic Functions and Related Topics

2018 ◽  
Vol 34 (8) ◽  
pp. 1278-1288
Author(s):  
Fu Sheng Deng ◽  
Hui Ping Zhang ◽  
Xiang Yu Zhou
Keyword(s):  
Minimum Principle ◽  
Plurisubharmonic Functions

Powers of the ideal of Lebesgue measure zero sets

1991 ◽  
Vol 56 (1) ◽  
pp. 103-107
Author(s):  
Maxim R. Burke
Keyword(s):  
Partial Order ◽  
Lebesgue Measure ◽  
Regular Cardinal ◽  
Measure Zero ◽  
Lebesgue Measure Zero ◽  
Zero Sets ◽  
Covering Lemma ◽  
Inner Model ◽  
The Ideal

AbstractWe investigate the cofinality of the partial order κ of functions from a regular cardinal κ into the ideal of Lebesgue measure zero subsets of R. We show that when add () = κ and the covering lemma holds with respect to an inner model of GCH, then cf (κ) = max{cf(κκ), cf([cf()]κ)}. We also give an example to show that the covering assumption cannot be removed.

scholarly journals Differential Tests for Plurisubharmonic Functions and Koch Curves

2018 ◽  
Vol 50 (3) ◽  
pp. 381-400 ◽  
Author(s):  
Sławomir Dinew ◽  
żywomir Dinew
Keyword(s):  
Plurisubharmonic Functions
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