کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4617038 1339367 2012 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hardy spaces related to Schrödinger operators with potentials which are sums of LpLp-functions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Hardy spaces related to Schrödinger operators with potentials which are sums of LpLp-functions
چکیده انگلیسی

We investigate the Hardy space HL1 associated with the Schrödinger operator L=−Δ+VL=−Δ+V on RnRn, where V=∑j=1dVj. We assume that each VjVj depends on variables from a linear subspace VjVj of RnRn, dimVj≥3dimVj≥3, and VjVj belongs to Lq(Vj)Lq(Vj) for certain qq. We prove that there exist two distinct isomorphisms of HL1 with the classical Hardy space. We deduce as a corollary a specific atomic characterization of HL1. We also prove that the space HL1 can be described by means of the Riesz transforms RL,i=∂iL−1/2RL,i=∂iL−1/2.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 396, Issue 1, 1 December 2012, Pages 173–188
نویسندگان
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