Weak and strong limit values

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


The classical results about the boundary values of holomorphic or harmonic functions on a domain D state that under additional integrability assumptions these functions have limits along specific sets approaching boundary. The proofs of these results are based on properties of smooth boundaries used to define the approach regions and on estimates of representing kernels along these regions. This paper attempts to look at the situation when no assumptions about the boundary smoothness are made and, consequently, no natural definitions of approach regions could be given.

Original languageEnglish (US)
Pages (from-to)999-1031
Number of pages33
JournalJournal of Geometric Analysis
Issue number3
StatePublished - Jul 2013


  • Boundary values

ASJC Scopus subject areas

  • Geometry and Topology


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