کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5774935 1413570 2017 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Symmetric seminorms and the Leibniz property
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Symmetric seminorms and the Leibniz property
چکیده انگلیسی

We show that certain symmetric seminorms on Rn satisfy the Leibniz inequality. As an application, we obtain that Lp norms of centered bounded real functions, defined on probability spaces, have the same property. Even though this is well-known for the standard deviation it seems that the complete result has never been established. In addition, we shall connect the results with the differential calculus introduced by Cipriani and Sauvageot and Rieffel's non-commutative Riemann metric.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 452, Issue 1, 1 August 2017, Pages 708-725
نویسندگان
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