Sobolev spaces on multiple cones

P. Auscher[1]; N. Badr[2]

  • [1] Paris-Sud, Laboratoire de Mathématiques, UMR 8628, Orsay, F-91405 ; CNRS, Orsay, F-91405
  • [2] Université de Lyon; CNRS; Université Lyon 1, Institut Camille Jordan, 43 boulevard du 11 Novembre 1918, F-69622 Villeurbanne Cedex, France

Annales de la faculté des sciences de Toulouse Mathématiques (2010)

  • Volume: 19, Issue: 3-4, page 707-733
  • ISSN: 0240-2963

Abstract

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The purpose of this note is to discuss how various Sobolev spaces defined on multiple cones behave with respect to density of smooth functions, interpolation and extension/restriction to/from ℝ n . The analysis interestingly combines use of Poincaré inequalities and of some Hardy type inequalities.

How to cite

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Auscher, P., and Badr, N.. "Sobolev spaces on multiple cones." Annales de la faculté des sciences de Toulouse Mathématiques 19.3-4 (2010): 707-733. <http://eudml.org/doc/115878>.

@article{Auscher2010,
abstract = {The purpose of this note is to discuss how various Sobolev spaces defined on multiple cones behave with respect to density of smooth functions, interpolation and extension/restriction to/from $\mathbb\{R\}^n$. The analysis interestingly combines use of Poincaré inequalities and of some Hardy type inequalities.},
affiliation = {Paris-Sud, Laboratoire de Mathématiques, UMR 8628, Orsay, F-91405 ; CNRS, Orsay, F-91405; Université de Lyon; CNRS; Université Lyon 1, Institut Camille Jordan, 43 boulevard du 11 Novembre 1918, F-69622 Villeurbanne Cedex, France},
author = {Auscher, P., Badr, N.},
journal = {Annales de la faculté des sciences de Toulouse Mathématiques},
keywords = {Sobolev spaces defined on multiple cones; Poincaré inequalities; Hardy type inequalities},
language = {eng},
number = {3-4},
pages = {707-733},
publisher = {Université Paul Sabatier, Toulouse},
title = {Sobolev spaces on multiple cones},
url = {http://eudml.org/doc/115878},
volume = {19},
year = {2010},
}

TY - JOUR
AU - Auscher, P.
AU - Badr, N.
TI - Sobolev spaces on multiple cones
JO - Annales de la faculté des sciences de Toulouse Mathématiques
PY - 2010
PB - Université Paul Sabatier, Toulouse
VL - 19
IS - 3-4
SP - 707
EP - 733
AB - The purpose of this note is to discuss how various Sobolev spaces defined on multiple cones behave with respect to density of smooth functions, interpolation and extension/restriction to/from $\mathbb{R}^n$. The analysis interestingly combines use of Poincaré inequalities and of some Hardy type inequalities.
LA - eng
KW - Sobolev spaces defined on multiple cones; Poincaré inequalities; Hardy type inequalities
UR - http://eudml.org/doc/115878
ER -

References

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