کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4616918 1339363 2013 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Riesz transforms, fractional power and functional calculus of Schrödinger operators on weighted Lp-spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Riesz transforms, fractional power and functional calculus of Schrödinger operators on weighted Lp-spaces
چکیده انگلیسی
We consider the Schrödinger operator A=−Δ+V+−V− on Lp(RN,wdx) where N≥3, and w is a weight in some Muckenhoupt class. We study the boundedness of Riesz transform type operators ∇A−12 and ∣V∣12A−12 on Lp(RN,wdx). Our result extends the one of Bui (2010) [14] to signed potentials and treat the case where p≥2. It also gives a weighted version of our earlier results Assaad (2011) [1], Assaad and Ouhabaz (2012) [2] and of the result (Auscher and Ben Ali 2007) [4] to weighted Lebesgue spaces. We study also the boundedness from Lp(RN,wpdx) to Lq(RN,wqdx) of the fractional power A−α/2 and the Lp(RN,wdx)-boundedness of the H∞-functional calculus of A.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 402, Issue 1, 1 June 2013, Pages 220-233
نویسندگان
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