DOI

We obtain several new sharp C-continuity conditions, both necessary and sufficient, for operators of harmonic reflection of functions over boundaries of simple Carathéodory domains in RN. These results are based on a new criterion (also obtained in this paper) for C-continuity of the Poisson operator in the aforesaid domains. As corollaries, we give new sufficient conditions for C-approximability of functions by harmonic polynomials on boundaries of simple Carathéodory domains in RN. Bibliography: 17 titles.

Язык оригиналаанглийский
Страницы (с-по)1159-1170
Число страниц12
ЖурналSbornik Mathematics
Том211
Номер выпуска8
DOI
СостояниеОпубликовано - авг 2020

    Предметные области Scopus

  • Алгебра и теория чисел

ID: 86668568