An elementary proof of sharp Sobolev embeddings

Proceedings of the American Mathematical Society

Volumn 130, Issue 2, 2002, Pages 555-563

  Malý, Jan ^a   Pick, Luboš ^a  

^a CHARLES UNIVERSITY   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035994230     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-01-06060-9     Document Type: Conference Paper

References (20)

1. Sobolev inequalities in disguise
2. Weak-L∞ and BMO
3. Interpolation of operators
4. A note on limiting cases of Sobolev embeddings and convolution inequalities
5. A sharp embedding theorem for Orlicz-Sobolev spaces
6. Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms
7. Imbedding theorems of Sobolev type in potential theory
8. On the sharpness of a limiting case of the Sobolev imbedding theorem
9. Fine regularity of solutions of elliptic partial differential equations
10. A theorem on the multidimensional Schrödinger operator
11. Convolution operators and L(p,q) spaces
12. Espaces d'interpolation et théorème de Soboleff
13. On the eigenfunctions of the equation Δu+λf(u) = 0
14. Applications of functional analysis in mathematical physics
15. Imbedding theorems of Sobolev spaces into Lorentz spaces
16. On imbeddings into Orlicz spaces and some applications
17. Some estimates connected with integral operators and with solutions of elliptic equations