THE WEAK CHANG-MARSHALL INEQUALITY VIA GREEN'S FORMULA

We prove the uniform Trudinger-Moser type inequality of Chang and Marshall for the Dirichlet space when α < 1 by using only Green's formula instead of Beurling's deep inequalities.

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Bibliographic Details
Published in:The Rocky Mountain journal of mathematics 2006-01, Vol.36 (5), p.1631-1636
Main Authors: PAVLOVIĆ, MIROSLAV, VUKOTIĆ, DRAGAN
Format: Article
Language:English
Subjects:
Geometry
Mathematical functions
Mathematical inequalities
Mathematical integrals
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Description
Summary:We prove the uniform Trudinger-Moser type inequality of Chang and Marshall for the Dirichlet space when α < 1 by using only Green's formula instead of Beurling's deep inequalities.
ISSN:0035-7596
1945-3795
DOI:10.1216/rmjm/1181069387