کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4590719 1334978 2013 32 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
BMO from dyadic BMO via expectations on product spaces of homogeneous type
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
BMO from dyadic BMO via expectations on product spaces of homogeneous type
چکیده انگلیسی

Using the random dyadic lattices developed by Hytönen and Kairema, we build up a bridge between BMO and dyadic BMO, and hence one between VMO and dyadic VMO, via expectations over dyadic lattices on spaces of homogeneous type, including both the one-parameter and product cases. We also obtain a similar relationship between ApAp and dyadic ApAp, as well as one between the reverse Hölder class RHpRHp and dyadic RHpRHp, via geometric–arithmetic expectations. These results extend the earlier theory along this line, developed by Garnett, Jones, Pipher, Ward, Xiao and Treil, to the more general setting of spaces of homogeneous type in the sense of Coifman and Weiss.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 265, Issue 10, 15 November 2013, Pages 2420–2451
نویسندگان
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