Isolated singularities, growth of spherical means and Riesz decomposition for superbiharmonic functions
Futamura, Toshihide ; Kitaura, Keiji ; Mizuta, Yoshihiro
Hiroshima Math. J., Tome 38 (2008) no. 1, p. 231-241 / Harvested from Project Euclid
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We consider Riesz decomposition theorem for superbiharmonic functions in the punctured ball. In fact, we show that under certain growth condition on surface integrals, superbiharmonic functions are represented as a sum of potentials and biharmonic functions.
Publié le : 2008-07-15
Classification:  superbiharmonic functions,  spherical means,  Riesz decomposition,  31B30,  31B05,  31B15 
@article{1220619459,
     author = {Futamura, Toshihide and Kitaura, Keiji and Mizuta, Yoshihiro},
     title = {Isolated singularities, growth of spherical means and Riesz decomposition for superbiharmonic functions},
     journal = {Hiroshima Math. J.},
     volume = {38},
     number = {1},
     year = {2008},
     pages = { 231-241},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1220619459}
}

Futamura, Toshihide; Kitaura, Keiji; Mizuta, Yoshihiro. Isolated singularities, growth of spherical means and Riesz decomposition for superbiharmonic functions. Hiroshima Math. J., Tome 38 (2008) no. 1, pp.  231-241. http://gdmltest.u-ga.fr/item/1220619459/