Yu, Jiye Peak functions on weakly pseudoconvex domains. (English) Zbl 0828.32003 Indiana Univ. Math. J. 43, No. 4, 1271-1295 (1994). The main result of this paper gives a new sufficient condition for a boundary point of a domain to be a peak point for the uniform algebra of holomorphic functions that are continuous on the closure of the domain. The condition is that the boundary is pseudoconvex there, and the Catlin’s multitype agrees with D’Angelo’s \(q\)-types. We also provide other equivalent formulations. Reviewer: J.Yu (College Station, TX) Cited in 1 ReviewCited in 21 Documents MSC: 32T99 Pseudoconvex domains 32F45 Invariant metrics and pseudodistances in several complex variables 32A38 Algebras of holomorphic functions of several complex variables Keywords:peaking function; finite type; multitype; \(q\)-type; \(h\)-extendible; pseudoconvex domain; singular Kobayashi metric; peak point; algebra of holomorphic functions PDFBibTeX XMLCite \textit{J. Yu}, Indiana Univ. Math. J. 43, No. 4, 1271--1295 (1994; Zbl 0828.32003) Full Text: DOI