naa a22 4500 510810543 CHVBK 20180411083440.0 cr unu---uuuuu 180411e20130701xx s 000 0 eng 10.1007/s12220-011-9271-3 doi (NATIONALLICENCE)springer-10.1007/s12220-011-9271-3 Poletsky Evgeny Department of Mathematics, Syracuse University, 215 Carnegie Hall, 13244, Syracuse, NY, USA aut Weak and Strong Limit Values [Elektronische Daten] [Evgeny Poletsky] 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. Mathematica Josephina, Inc., 2011 Boundary values nationallicence Journal of Geometric Analysis Springer US; http://www.springer-ny.com 23/3(2013-07-01), 999-1031 1050-6926 23:3<999 2013 23 12220 https://doi.org/10.1007/s12220-011-9271-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12220-011-9271-3 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Poletsky Evgeny Department of Mathematics, Syracuse University, 215 Carnegie Hall, 13244, Syracuse, NY, USA aut NATIONALLICENCE 773 0- Journal of Geometric Analysis Springer US; http://www.springer-ny.com 23/3(2013-07-01), 999-1031 1050-6926 23:3<999 2013 23 12220 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer