کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4614691 | 1339297 | 2015 | 26 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Poincaré-type inequalities for singular stable-like Dirichlet forms
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Poincaré-type inequalities for singular stable-like Dirichlet forms Poincaré-type inequalities for singular stable-like Dirichlet forms](/preview/png/4614691.png)
چکیده انگلیسی
This paper is concerned with a class of singular stable-like Dirichlet forms on RdRd, which are generated by d independent copies of a one-dimensional symmetric α -stable process, and whose Lévy jump kernel measure is concentrated on the union of the coordinate axes. Explicit and sharp criteria for Poincaré inequality, super Poincaré inequality and weak Poincaré inequality of such singular Dirichlet forms are presented. When the reference measure is a product measure on RdRd, we also consider the entropy inequality for the associated Dirichlet forms, which is similar to the log-Sobolev inequality for local Dirichlet forms, and enjoys the tensorisation property.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 432, Issue 2, 15 December 2015, Pages 761–786
Journal: Journal of Mathematical Analysis and Applications - Volume 432, Issue 2, 15 December 2015, Pages 761–786
نویسندگان
Jian Wang,