کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4615465 1339317 2015 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Extensions and traces of functions of bounded variation on metric spaces
ترجمه فارسی عنوان
ضمیمه ها و علامت های توابع تنوع محدود در فضاهای متریک
کلمات کلیدی
ردیابی مرزی، تنوع محدود امتداد، پرش مجموعه، محل سکونت، دامنه ی یکسان
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

In the setting of a metric space equipped with a doubling measure and supporting a Poincaré inequality, and based on results by Björn and Shanmugalingam (2007) [7], we show that functions of bounded variation can be extended from any bounded uniform domain to the whole space. Closely related to extensions is the concept of boundary traces, which have previously been studied by Hakkarainen et al. (2014) [17]. On spaces that satisfy a suitable locality condition for sets of finite perimeter, we establish some basic results for the traces of functions of bounded variation. Our analysis of traces also produces novel pointwise results on the behavior of functions of bounded variation in their jump sets.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 423, Issue 1, 1 March 2015, Pages 521–537
نویسندگان
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