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 language||English (US)|
|Number of pages||33|
|Journal||Journal of Geometric Analysis|
|State||Published - Jul 2013|
- Boundary values
ASJC Scopus subject areas
- Geometry and Topology