New inequalities for the jacobian

L. Greco; T. Iwaniec

Annales de l'I.H.P. Analyse non linéaire (1994)

  • Volume: 11, Issue: 1, page 17-35
  • ISSN: 0294-1449

How to cite

top

Greco, L., and Iwaniec, T.. "New inequalities for the jacobian." Annales de l'I.H.P. Analyse non linéaire 11.1 (1994): 17-35. <http://eudml.org/doc/78322>.

@article{Greco1994,
author = {Greco, L., Iwaniec, T.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Jacobi determinants; nonlinear commutators; Orlicz space; integral estimates},
language = {eng},
number = {1},
pages = {17-35},
publisher = {Gauthier-Villars},
title = {New inequalities for the jacobian},
url = {http://eudml.org/doc/78322},
volume = {11},
year = {1994},
}

TY - JOUR
AU - Greco, L.
AU - Iwaniec, T.
TI - New inequalities for the jacobian
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1994
PB - Gauthier-Villars
VL - 11
IS - 1
SP - 17
EP - 35
LA - eng
KW - Jacobi determinants; nonlinear commutators; Orlicz space; integral estimates
UR - http://eudml.org/doc/78322
ER -

References

top
  1. [BFS] H. Brezis, N. Fusco and C. Sbordone, Integrability for the Jacobian of Orientation Preserving Mappings, J. Funct. Anal. (to appear). Zbl0847.26012MR1234399
  2. [BM] J.M. Ball and F. Murat, W1,p-quasi-convexity and variational Problems for Multiple Integrals, J. Funct. Anal., Vol. 58, 1984, pp. 225-253. Zbl0549.46019MR759098
  3. [CLMS] R.R. Coifman, P.L. Lions, Y. Meyer and S. Semmes, Compacité par Compensation et Espaces de Hardy, C. R. Acad. Sci. Paris, T. 309, 1989, pp. 945-949. Zbl0684.46044
  4. [CR] R.R. Coifman and R. Rochberg, Another Characterization of BMO, Proceedings AMS, Vol. 79, (2), 1980, pp. 249-254. Zbl0432.42016MR565349
  5. [FS] C. Fefferman and E.M. Stein, Hp Space of Several Variables, Acta Mat., Vol. 129, 1972, pp. 137-193. Zbl0257.46078MR447953
  6. [G] L. Greco, A Remark on the Equality det Df = Det Df, preprint of the University of Naples, 1992; to appear in Differential and Integral Equations. Zbl0784.49013MR1230483
  7. [G2] L. Greco, Su Alcune Proprietà dei Determinanti Jacobiani, Tesi per il Dottorato di Ricerca, Università di Napoli, 1993. 
  8. [GIM] L. Greco, T. Iwaniec and G. Moscariello, Limits of the Improved Integrability of the Volume Forms (to appear). Zbl0855.42009
  9. [I] T. Iwaniec, p-Harmonic Tensors and Quasiregular Mappings, Annals of Mathematics, Vol. 136, 1992, pp. 589-624. Zbl0785.30009MR1189867
  10. [IL] T. Iwaniec and A. Lutoborski, Integral Estimates for Null Lagrangians (to appear). Zbl0793.58002MR1241286
  11. [IK] T. Iwaniec and R. Kosecki, Sharp Estimates for Complex Potentials and Quasi-conformal Mappings, preprint. 
  12. [IM] T. Iwaniec and G. Martin, Quasiregular Mappings in Even Dimension, Acta Math., Vol. 170, 1992, pp. 29-81. Zbl0785.30008MR1208562
  13. [IS1] T. Iwaniec and C. Sbordone, On the Integrability of the Jacobian Under Minimal Hypothesis, Arch. Rational Mech. Anal., Vol. 119, 1992, pp. 129-143. Zbl0766.46016MR1176362
  14. [IS2] T. Iwaniec and C. Sbordone, Weak Minima of Variational Integrals, preprint of the University of Naples, 1992, to appear in J. reine angew Math. Zbl0802.35016MR1288682
  15. [M] S. Müller, Higher Integrability of Determinants and Weak Convergence in L1, J. reine angew Math., Vol. 412, 1990, pp. 20-34. Zbl0713.49004MR1078998
  16. [Mi] M. Milman, Inequalities For Jacobians: Interpolation Techniques (to appear). Zbl0830.46024MR1252243
  17. [Mo] G. Moscariello, On the Integrability of the Jacobian in Orlicz Spaces, preprint of the University of Naples, 1992, to appear in Math. Jap. Zbl0805.46026MR1297249
  18. [RW] R. Rochberg and G. Weiss, Derivatives of Analytic Families of Banach Spaces, Annals of Math., Vol. 118, 1983, pp. 315-347. Zbl0539.46049MR717826
  19. [S] E.M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, Princeton, 1970. Zbl0207.13501MR290095
  20. [S1] E.M. Stein, Note on the Class L log L, Studia Math., Vol. 32, 1969, pp. 305-310. Zbl0182.47803MR247534

NotesEmbed ?

top

You must be logged in to post comments.