کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4619632 1339442 2010 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On semi-R-boundedness and its applications
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On semi-R-boundedness and its applications
چکیده انگلیسی

R-Boundedness is a randomized boundedness condition for sets of operators which in recent years has found many applications in the maximal regularity theory of evolution equations, stochastic evolution equations, spectral theory and vector-valued harmonic analysis. However, in some situations additional geometric properties such as Pisier's property (α) are required to guaranty the R-boundedness of a relevant set of operators. In this paper we show that a weaker property called semi-R-boundedness can be used to avoid these geometric assumptions in the context of Schauder decompositions and the H∞-calculus. Furthermore, we give weaker conditions for stochastic integrability of certain convolutions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 363, Issue 2, 15 March 2010, Pages 431-443