Geometric conditions which imply compactness of the ∂ ¯ -Neumann operator

Emil Straube[1]

  • [1] Department of Mathematics, Texas A&M University, College Station, TX 77843, (USA)

Annales de l’institut Fourier (2004)

  • Volume: 54, Issue: 3, page 699-710
  • ISSN: 0373-0956

Abstract

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For smooth bounded pseudoconvex domains in ℂ 2 , we provide geometric conditions on the boundary which imply compactness of the ∂ ¯ -Neumann operator. It is noteworthy that the proof of compactness does not proceed via verifying the known potential theoretic sufficient conditions.

How to cite

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Straube, Emil. "Geometric conditions which imply compactness of the ${\overline{\partial }}$-Neumann operator." Annales de l’institut Fourier 54.3 (2004): 699-710. <http://eudml.org/doc/116123>.

@article{Straube2004,
abstract = {For smooth bounded pseudoconvex domains in $\{\mathbb \{C\}\}^\{2\}$, we provide geometric conditions on the boundary which imply compactness of the $\overline\{\partial \}$-Neumann operator. It is noteworthy that the proof of compactness does not proceed via verifying the known potential theoretic sufficient conditions.},
affiliation = {Department of Mathematics, Texas A&M University, College Station, TX 77843, (USA)},
author = {Straube, Emil},
journal = {Annales de l’institut Fourier},
keywords = {$\overline\{\partial \}$-Neumann operator; compactness; geometric conditions; -Neumann operator},
language = {eng},
number = {3},
pages = {699-710},
publisher = {Association des Annales de l'Institut Fourier},
title = {Geometric conditions which imply compactness of the $\{\overline\{\partial \}\}$-Neumann operator},
url = {http://eudml.org/doc/116123},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Straube, Emil
TI - Geometric conditions which imply compactness of the ${\overline{\partial }}$-Neumann operator
JO - Annales de l’institut Fourier
PY - 2004
PB - Association des Annales de l'Institut Fourier
VL - 54
IS - 3
SP - 699
EP - 710
AB - For smooth bounded pseudoconvex domains in ${\mathbb {C}}^{2}$, we provide geometric conditions on the boundary which imply compactness of the $\overline{\partial }$-Neumann operator. It is noteworthy that the proof of compactness does not proceed via verifying the known potential theoretic sufficient conditions.
LA - eng
KW - $\overline{\partial }$-Neumann operator; compactness; geometric conditions; -Neumann operator
UR - http://eudml.org/doc/116123
ER -

References

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