ISSN:
1572-929X
Keywords:
31B05
;
Separately subharmonic functions
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Let u(x, y) be defined in B 1×B 2 where B 1⫅ℝ m and B 2⫅ℝ n , and assume that u(x, ·) harmonic for every fixed x and u(·, y) is subharmonic for every fixed y. We show that if u(·, y) is, in addition, C 2 for each y then u is subharmonic in B 1×B 2 in both variables jointly.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00275514
Permalink