Тип публикации: доклад, тезисы доклада, статья из сборника материалов конференций
Конференция: International Conference on Complex Analysis and Dynamical Systems; Nahariya, ISRAEL; Nahariya, ISRAEL
Год издания: 2011
Ключевые слова: partial derivative-closed differential forms, Bochner-Martinelli-Koppelman formula
Аннотация: The partial derivative-closed differential forms with smooth coefficients in a bounded domain D subset of C-n are studied. It is proved that the condition of partial derivative-closedness can be expressed as a weaker differential condition in the domain and a differential condition on the boundary. In particular, for the forms withПоказать полностьюharmonic coefficients, partial derivative-closedness is equivalent to some boundary relations. This allows us to treat the results as conditions of the partial derivative-closed extension of a form from the boundary.
Журнал: COMPLEX ANALYSIS AND DYNAMICAL SYSTEMS IV, PT 1: FUNCTION THEORY AND OPTIMIZATION
Выпуск журнала: Vol. 553
Номера страниц: 201-211
ISSN журнала: 02714132
Место издания: PROVIDENCE
Издатель: AMER MATHEMATICAL SOC