کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5772222 | 1413352 | 2017 | 33 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Characterizations of HÎN1(Rn) and BMOÎN(Rn) via weak factorizations and commutators
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
This paper provides a deeper study of the Hardy and BMO spaces associated to the Neumann Laplacian ÎN. For the Hardy space HÎN1(Rn) (which is a proper subspace of the classical Hardy space H1(Rn)) we demonstrate that the space has equivalent norms in terms of Riesz transforms, maximal functions, atomic decompositions, and weak factorizations. While for the space BMOÎN(Rn) (which contains the classical BMO(Rn)) we prove that it can be characterized in terms of the action of the Riesz transforms associated to the Neumann Laplacian on Lâ(Rn) functions and in terms of the behavior of the commutator with the Riesz transforms. The results obtained extend many of the fundamental results known for H1(Rn) and BMO(Rn).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 272, Issue 12, 15 June 2017, Pages 5384-5416
Journal: Journal of Functional Analysis - Volume 272, Issue 12, 15 June 2017, Pages 5384-5416
نویسندگان
Ji Li, Brett D. Wick,