Is the maximal function of a Lipschitz function continous?

Buckley, Stephen M. (1999) Is the maximal function of a Lipschitz function continous? Annales Academiæ Scientiarum Fennicæ Mathematica, 24. pp. 519-528. ISSN 1798-2383

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We examine the action of the maximal operator on Lipschitz and Hölder functions in the context of homogeneous spaces. Boundedness results are proven for spaces satisfying an annular decay property and counterexamples are given for some other spaces. The annular decay property is defined and investigated.

Item Type: Article
Keywords: Lipschitz function; Hölder function; Homogeneous spaces; Annular decay property.
Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
Item ID: 1613
Depositing User: Prof. Stephen Buckley
Date Deposited: 21 Oct 2009 12:22
Journal or Publication Title: Annales Academiæ Scientiarum Fennicæ Mathematica
Publisher: Suomalainen Tiedeakatemia
Refereed: Yes

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