𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Weighted poincaré inequalities on one-dimensional unbounded domains

✍ Scribed by Wan Yi Wang; Zhi Ming Zheng; Jiong Sun

Book ID
104349620
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
323 KB
Volume
16
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis

this paper, we discuss the weighted Poincark inequalities on one-dimensional unbounded domains and give sufficient conditions for them to hold.

📜 SIMILAR VOLUMES

On Weighted Poincaré Inequalities
On Weighted Poincaré Inequalities
✍ Andrea Gianchi; David E. Edmunds; Petr Gurka 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 895 KB

We are concerned with the problem of finding sharp summability conditions on the wvights which render certain weighted inequalities of PoincarB-type true. The conditions we find ixiitsist of proper integral balances between the growths of the rearrangements of the weights. ## I . Introduction We

Weighted Poincaré and Korn inequalities
Weighted Poincaré and Korn inequalities for Hölder α domains
✍ Gabriel Acosta; Ricardo G. Durán; Ariel L. Lombardi 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 166 KB

## Abstract It is known that the classic Korn inequality is not valid for Hölder __α__ domains. In this paper, we prove a family of weaker inequalities for this kind of domains, replacing the standard __L^p^__‐norms by weighted norms where the weights are powers of the distance to the boundary. In

Weighted Inequalities on John Domains
Weighted Inequalities on John Domains
✍ Seng-Kee Chua 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 113 KB

We study two-weighted inequalities on John domains. We first introduce do-Ž . Ž mains that generalize the C C , M domains defined by HajLasz and Koskela J. . London Math. Soc., to appear and then show that our domains are actually just John domains. We then extend an interesting and nice result of