On functions with derivatives in a Lorentz space

Manuscripta Mathematica

Volumn 100, Issue 1, 1999, Pages 87-101

  Kauhanen, Janne ^a   Koskela, Pekka ^a   Malý, Jan ^b  

^a UNIVERSITY OF JYVÄSKYLÄ   (Finland)

^b CHARLES UNIVERSITY   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033472260     PISSN: 00252611     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002290050197     Document Type: Article

References (13)

1. Cesari, L.: Sulle transformazioni continue. Ann. Mat. Pura Appl. 21, 157-188 (1942)
2. Cianchi, A. and Pick, L.: Sobolev embeddings into BMO, VMO, and L∞. Ark. Mat. 36, 317-340 (1998)
3. Fonseca, I. and Gangbo, W.: Degree Theory in Analysis and Applications. Oxford: Clarendon Press, 1995
4. 1,n. J. Reine Angew. Math. 458, 19-36 (1995)
5. Malý, J.: Absolutely continuous functions of several variables. J. Math. Anal. Appl. (to appear)
6. Malý, J. and Ziemer, W. P.: Fine regularity of solutions of elliptic partial differential equations. AMS, 1997
7. Marcus, M. and Mizel, V. J.: Transformations by functions in Sobolev spaces and lower semicontinuity for parametric variational problems. Bull. Amer. Math. Soc. 79 no. 4, 790-795 (1973)
8. Martio, O. and Ziemer, W. P.: Lusin's condition (N) and mappings with nonnegative Jacobians. Michigan Math. J. 39, 495-508 (1992)
9. Müller, S. and Spector, S.: An existence theory for nonlinear elasticity that allows for cavitation. Arch. Rational Mech. Anal. 131 no. 1, 1-66 (1995)
10. Rado, T. and Reichelderfer, P. V.: Continuous Transformations in Analysis. Springer, 1955
11. Rudin, W.: Real and Complex Analysis, Third Edition. McGraw-Hill, 1987
12. n. Annals of Mathematics 113, 383-385 (1981)
13. Stein, E. M. and Weiss G.: Introduction to Fourier Analysis on Euclidean Spaces. Princeton Univ. Press, 1971