کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4591649 1335043 2008 51 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Tent spaces associated with semigroups of operators
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Tent spaces associated with semigroups of operators
چکیده انگلیسی

We study tent spaces on general measure spaces (Ω,μ). We assume that there exists a semigroup of positive operators on Lp(Ω,μ) satisfying a monotone property but do not assume any geometric/metric structure on Ω. The semigroup plays the same role as integrals on cones and cubes in Euclidean spaces. We then study BMO spaces on general measure spaces and get an analogue of Fefferman's H1–BMO duality theory. We also get a H1–BMO duality inequality without assuming the monotone property. All the results are proved in a more general setting, namely for noncommutative Lp spaces.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 255, Issue 12, 15 December 2008, Pages 3356-3406