Weighted Sobolev Interpolation Inequalities on Certain Domains | Zendy

Chua SengKee | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Weighted Sobolev Interpolation Inequalities on Certain Domains

Author(s) -

Chua SengKee

Publication year - 1995

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/jlms/51.3.532

Subject(s) - mathematics , lipschitz continuity , interpolation (computer graphics) , sobolev inequality , inequality , sobolev space , pure mathematics , type (biology) , lipschitz domain , mathematical analysis , computer science , image (mathematics) , artificial intelligence , geology , paleontology

We obtain some weighted Sobolev interpolation inequalities on certain domains that include Lipschitz domains for doubling weights satisfying a weighted Poincaré inequality. These generalize most results in Gutierrez and Wheeden's paper [ 20 ]. We also give some applications on Lipschitz domains for weights of type dist (·, G ) 8 , where G ⊂ ∂.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research