TY  - BOOK
AU  - Haj�asz,Piotr
AU  - Koskela,Pekka
TI  - Sobolev met Poincar�e
T2  - Memoirs of the American Mathematical Society, 
SN  - 9781470402792 (online)
AV  - QA3.A57 no. 688QA323 
U1  - 510 s515/.782 21
PY  - 2000///
CY  - Providence, R.I.
PB  - American Mathematical Society
KW  - Sobolev spaces
KW  - Inequalities (Mathematics)
N1  - "May 2000, volume 145, number 688 (first of 4 numbers)."; Includes bibliographical references (p. 89-101); 1. Introduction; 2. What are Poincar�e and Sobolev inequalities?; 3. Poincar�e inequalities, pointwise estimates, and Sobolev classes; 4. Examples and necessary conditions; 5. Sobolev type inequalities by means of Riesz potentials; 6. Trudinger inequality; 7. A version of the Sobolev embedding theorem on spheres; 8. Rellich-Kondrachov; 9. Sobolev classes in John domains; 10. Poincar�e inequality: examples; 11. Carnot-Carath�eodory spaces; 12. Graphs; 13. Applications to P.D.E and nonlinear potential theory; 14. Appendix; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR  - http://www.ams.org/memo/0688
UR  - http://dx.doi.org/10.1090/memo/0688
ER  -