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St. Petersburg Mathematical Journal
St. Petersburg Mathematical Journal
ISSN 1547-7371(online) ISSN 1061-0022(print)

Lipschitz classification of functions on a Hölder triangle


Authors: L. Birbrair, A. Fernandes and D. Panazzolo
Original publication: Algebra i Analiz, tom 20 (2008), nomer 5.
Journal: St. Petersburg Math. J. 20 (2009), 681-686
MSC (2000): Primary 32S15, 32S05
Published electronically: July 21, 2009
MathSciNet review: 2492357
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Abstract: The problem of semialgebraic Lipschitz classification of quasihomogeneous polynomials on a Hölder triangle is studied. For this problem, the ``moduli'' are described completely in certain combinatorial terms.


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Additional Information

L. Birbrair
Affiliation: Departamento de Matemática, Universidade Federal do Ceará, Av. Mister Hull s/n, Campus do PICI, Bloco 914, CEP: 60.455-760 – Fortaleza – CE, Brasil
Email: birb@ufc.br

A. Fernandes
Affiliation: Departamento de Matemática, Universidade Federal do Ceará, Av. Mister Hull s/n, Campus do PICI, Bloco 914, CEP: 60.455-760 – Fortaleza – CE, Brasil
Email: alexandre.fernandes@ufc.br

D. Panazzolo
Affiliation: Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão 1010, 05508-090 – São Paulo – SP, Brazil
Email: dpanazzo@ime.usp.br

DOI: http://dx.doi.org/10.1090/S1061-0022-09-01067-X
PII: S 1061-0022(09)01067-X
Keywords: Lipschitz classification, quasihomogeneous polynomials, H\"older triangle, moduli
Received by editor(s): April 16, 2007
Published electronically: July 21, 2009
Additional Notes: The first author was supported by CNPq grant 300985/93-2. The second author was supported by CNPq grant 300393/2005-9, and also by CNPq/FUNCAP/PPP. The third author was supported by CNPq grant 305904/2003-5.
Article copyright: © Copyright 2009 American Mathematical Society