A∞ and the green function

Jang Mei Wu

Research output: Contribution to journalArticlepeer-review


Let Gr(jc) be the Green function in a domain Ω Rm with a fixed pole, and Γ be an (m-1)-dimensional hyperplane. We give conditions on Ω and Ω∩Γ so that |∇G| is A∞ with respect to the (m-1)-dimensional measure on Ω ∩ Γ . Certain properties of the Riemann mapping of a simply-connected domain in R2 are extended to the Green function of domains in Rm.

Original languageEnglish (US)
Pages (from-to)159-178
Number of pages20
JournalPacific Journal of Mathematics
Issue number1
StatePublished - Jan 1993

ASJC Scopus subject areas

  • Mathematics(all)


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