A generalization of Bôcher's theorem for polyharmonic functions
Futamura, Toshihide ; Kishi, Kyoko ; Mizuta, Yoshihiro
Hiroshima Math. J., Tome 31 (2001) no. 2, p. 59-70 / Harvested from Project Euclid
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In this paper we generalize Bôcher's theorem for polyharmonic functions $u$. In fact, if $u$ is polyharmonic outside the origin and satisfies a certain integral condition, then it is shown that $u$ is written as the sum of partial derivatives of the fundamental solution and a polyharmonic function near the origin.
Publié le : 2001-03-14
Classification:  31B30 
@article{1151511148,
     author = {Futamura, Toshihide and Kishi, Kyoko and Mizuta, Yoshihiro},
     title = {A generalization of B\^ocher's theorem for polyharmonic functions},
     journal = {Hiroshima Math. J.},
     volume = {31},
     number = {2},
     year = {2001},
     pages = { 59-70},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1151511148}
}

Futamura, Toshihide; Kishi, Kyoko; Mizuta, Yoshihiro. A generalization of Bôcher's theorem for polyharmonic functions. Hiroshima Math. J., Tome 31 (2001) no. 2, pp.  59-70. http://gdmltest.u-ga.fr/item/1151511148/