A class of functions containing polyharmonic functions in ${\Bbb R}^n$

Tom 82 / 2003

V. Anandam, M. Damlakhi Annales Polonici Mathematici 82 (2003), 241-250 MSC: Primary 31B30. DOI: 10.4064/ap82-3-5

Streszczenie

Some properties of the functions of the form $v(x)=\sum _{i=0}^m |x|^ih_i(x)$ in ${{\mathbb R}}^n$, $n\ge 2$, where each $h_i$ is a harmonic function defined outside a compact set, are obtained using the harmonic measures.

Autorzy

  • V. AnandamDepartment of Mathematics
    King Saud University
    P.O. Box 2455
    Riyadh 11451, Saudi Arabia
    e-mail
  • M. DamlakhiDepartment of Mathematics
    King Saud University
    P.O. Box 2455
    Riyadh 11451, Saudi Arabia
    e-mail

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