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Weighted Inequalities on John Domains

✍ Scribed by Seng-Kee Chua

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
113 KB
Volume
258
Category
Article
ISSN
0022-247X

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✦ Synopsis

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 HajLasz and Koskela by modifying their proof and then obtain some interesting consequences that include weighted Sobolev interpolation inequalities and an almost necessary and sufficient condition for two-weighted Poincare inequality on cubes.

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