A short proof of the Hölder-Poincaré duality for L p -cohomology

Vladimir Gol'dshtein; Marc Troyanov

Rendiconti del Seminario Matematico della Università di Padova (2010)

  • Volume: 124, page 179-184
  • ISSN: 0041-8994

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Gol'dshtein, Vladimir, and Troyanov, Marc. "A short proof of the Hölder-Poincaré duality for $L_p$-cohomology." Rendiconti del Seminario Matematico della Università di Padova 124 (2010): 179-184. <http://eudml.org/doc/240692>.

@article{Goldshtein2010,
author = {Gol'dshtein, Vladimir, Troyanov, Marc},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Hölder-Poincaré duality theorem; Lebesgue measurable differential forms; Riemannian manifold; -cohomology},
language = {eng},
pages = {179-184},
publisher = {Seminario Matematico of the University of Padua},
title = {A short proof of the Hölder-Poincaré duality for $L_p$-cohomology},
url = {http://eudml.org/doc/240692},
volume = {124},
year = {2010},
}

TY - JOUR
AU - Gol'dshtein, Vladimir
AU - Troyanov, Marc
TI - A short proof of the Hölder-Poincaré duality for $L_p$-cohomology
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2010
PB - Seminario Matematico of the University of Padua
VL - 124
SP - 179
EP - 184
LA - eng
KW - Hölder-Poincaré duality theorem; Lebesgue measurable differential forms; Riemannian manifold; -cohomology
UR - http://eudml.org/doc/240692
ER -

References

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  1. [1] H. Brezis, Analyse fonctionnelle, Théorie et applications. Dunod, Paris 1999. Zbl0511.46001MR697382
  2. [2] J. Conway, A course in functional analysis. Second edition. Graduate Texts in Mathematics, 96. Springer-Verlag, New York, 1990. Zbl0706.46003MR1070713
  3. [3] V. M. Gol'dshtein - V. I. Kuz'minov - I. A. Shvedov, A Property of de Rham Regularization Operators, Siberian Math. Journal, 25, No 2 (1984). Zbl0602.58002MR741012
  4. [4] V. M. Gol'dshtein - V. I. Kuz'minov - I. A. Shvedov, Dual spaces of Spaces of Differential Forms, Siberian Math. Journal, 54, No 1 (1986). Zbl0654.46040MR847413
  5. [5] V. Gol'dshtein - M. Troyanov, Sobolev Inequality for Differential forms and L p -cohomology. Journal of Geom. Anal., 16, No 4 (2006), pp. 597--631. Zbl1105.58008MR2271946
  6. [6] V. Gol'dshtein - M. Troyanov, The Hölder-Poincaré Duality for L q , p -cohomology Preprint. 
  7. [7] M. Gromov, Asymptotic invariants of infinite groups. In "Geometric Group Theory", ed. G. Niblo and M. Roller, Cambridge: Cambridge University Press, (1993). MR1253544
  8. [8] P. Pansu, Cohomologie L p et pincement. Comment. Math. Helv., 83 (2008), pp. 327--357. Zbl1142.53023MR2390047

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