Łojasiewicz ideals in Denjoy-Carleman classes
Vincent Thilliez
Studia Mathematica, Tome 215 (2013), p. 35-46 / Harvested from The Polish Digital Mathematics Library
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The classical notion of Łojasiewicz ideals of smooth functions is studied in the context of non-quasianalytic Denjoy-Carleman classes. In the case of principal ideals, we obtain a characterization of Łojasiewicz ideals in terms of properties of a generator. This characterization involves a certain type of estimates that differ from the usual Łojasiewicz inequality. We then show that basic properties of Łojasiewicz ideals in the ∞ case have a Denjoy-Carleman counterpart.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:285546 
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     title = {\L ojasiewicz ideals in Denjoy-Carleman classes},
     journal = {Studia Mathematica},
     volume = {215},
     year = {2013},
     pages = {35-46},
     zbl = {1292.26070},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm216-1-3}
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Vincent Thilliez. Łojasiewicz ideals in Denjoy-Carleman classes. Studia Mathematica, Tome 215 (2013) pp. 35-46. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm216-1-3/