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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Regular domains in homogeneous groups


Authors: Roberto Monti and Daniele Morbidelli
Journal: Trans. Amer. Math. Soc. 357 (2005), 2975-3011
MSC (2000): Primary 43A80
Published electronically: March 25, 2005
MathSciNet review: 2135732
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Abstract: We study John, uniform and non-tangentially accessible domains in homogeneous groups of steps 2 and 3. We show that $C^{1,1}$ domains in groups of step 2 are non-tangentially accessible and we give an explicit condition which ensures the John property in groups of step 3.


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Additional Information

Roberto Monti
Affiliation: Dipartimento di Matematica Pura ed Applicata, Università di Padova, via Belzoni 7, 35131 Padova, Italy
Email: monti@math.unipd.it

Daniele Morbidelli
Affiliation: Dipartimento di Matematica, Università di Bologna, Piazza di Porta San Donato, 5, 40127 Bologna, Italy
Email: morbidel@dm.unibo.it

DOI: http://dx.doi.org/10.1090/S0002-9947-05-03799-2
PII: S 0002-9947(05)03799-2
Keywords: John domains, non-tangentially accessible domains, homogeneous groups
Received by editor(s): February 1, 2002
Published electronically: March 25, 2005
Additional Notes: The first author was supported by Trento University, Italy, and Bern University, Switzerland
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.