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Haj�asz, Piotr, 1966-

Sobolev met Poincar�e / [electronic resource] Piotr Haj�asz, Pekka Koskela. - Providence, R.I. : American Mathematical Society, c2000. - 1 online resource (ix, 101 p.) - Memoirs of the American Mathematical Society, v. 688 0065-9266 (print); 1947-6221 (online); .

"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

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Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012


Mode of access : World Wide Web

ISBN: 9781470402792 (online)

Subjects--Topical Terms:
Sobolev spaces.
Inequalities (Mathematics)

LC Class. No.: QA3.A57 no. 688 QA323

Dewey Class. No.: 510 s 515/.782