An optimal endpoint trace embedding

Andrea Cianchi[1]; Luboš Pick[2]

  • [1] Università di Firenze Dipartimento di Matematica e Applicazioni per l’Architettura Piazza Ghiberti 27 50122 Firenze (Italy)
  • [2] Charles University Faculty of Mathematics and Physics Department of Mathematical Analysis Sokolovská 83 186 75 Praha 8 (Czech Republic)

Annales de l’institut Fourier (2010)

  • Volume: 60, Issue: 3, page 939-951
  • ISSN: 0373-0956

Abstract

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We find an optimal Sobolev-type space on ℝ n all of whose functions admit a trace on subspaces of ℝ n of given dimension. A corresponding trace embedding theorem with sharp range is established.

How to cite

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Cianchi, Andrea, and Pick, Luboš. "An optimal endpoint trace embedding." Annales de l’institut Fourier 60.3 (2010): 939-951. <http://eudml.org/doc/116296>.

@article{Cianchi2010,
abstract = {We find an optimal Sobolev-type space on $\mathbb\{R\}^n$ all of whose functions admit a trace on subspaces of $\mathbb\{R\}^n$ of given dimension. A corresponding trace embedding theorem with sharp range is established.},
affiliation = {Università di Firenze Dipartimento di Matematica e Applicazioni per l’Architettura Piazza Ghiberti 27 50122 Firenze (Italy); Charles University Faculty of Mathematics and Physics Department of Mathematical Analysis Sokolovská 83 186 75 Praha 8 (Czech Republic)},
author = {Cianchi, Andrea, Pick, Luboš},
journal = {Annales de l’institut Fourier},
keywords = {Sobolev spaces; trace inequalities; Lorentz spaces; rearrangement invariant spaces},
language = {eng},
number = {3},
pages = {939-951},
publisher = {Association des Annales de l’institut Fourier},
title = {An optimal endpoint trace embedding},
url = {http://eudml.org/doc/116296},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Cianchi, Andrea
AU - Pick, Luboš
TI - An optimal endpoint trace embedding
JO - Annales de l’institut Fourier
PY - 2010
PB - Association des Annales de l’institut Fourier
VL - 60
IS - 3
SP - 939
EP - 951
AB - We find an optimal Sobolev-type space on $\mathbb{R}^n$ all of whose functions admit a trace on subspaces of $\mathbb{R}^n$ of given dimension. A corresponding trace embedding theorem with sharp range is established.
LA - eng
KW - Sobolev spaces; trace inequalities; Lorentz spaces; rearrangement invariant spaces
UR - http://eudml.org/doc/116296
ER -

References

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