کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5774878 | 1413569 | 2017 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Characterizations of A2 matrix power weights
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Characterizations of A2 matrix power weights Characterizations of A2 matrix power weights](/preview/png/5774878.png)
چکیده انگلیسی
In the scalar setting, the power functions |x|γ, for â1<γ<1, are the canonical examples of A2 weights. In this paper, we study two types of power functions in the matrix setting, with the goal of obtaining canonical examples of A2 matrix weights. We first study Type 1 matrix power functions, which are nÃn matrix functions whose entries are of the form a|x|γ. Our main result characterizes when these power functions are A2 matrix weights and has two extensions to Type 1 power functions of several variables. We also study Type 2 matrix power functions, which are nÃn matrix functions whose eigenvalues are of the form a|x|γ. We find necessary conditions for these to be A2 matrix weights and give an example showing that even nice functions of this form can fail to be A2 matrix weights.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 453, Issue 2, 15 September 2017, Pages 985-999
Journal: Journal of Mathematical Analysis and Applications - Volume 453, Issue 2, 15 September 2017, Pages 985-999
نویسندگان
Kelly Bickel, Katherine Lunceford, Naba Mukhtar,