1Mathematical Institute Academy of Sciences of the Czech Republic Žitna 25 115 67 Praha 1, Czech Republic 2Department of Mathematics and Statistics University of Jyväskylä P.O. Box 35 FIN-40014 Univ. of Jyväskylä, Finland
Studia Mathematica, Tome 170 (2005) no. 2, pp. 113-119
We establish a Trudinger inequality for functions that satisfy a suitable Poincarè inequality in a Euclidean space equipped with a Borel measure that need not be doubling.
Amiran Gogatishvili 
1
;
Pekka Koskela 
2
1
Mathematical Institute Academy of Sciences of the Czech Republic Žitna 25 115 67 Praha 1, Czech Republic
2
Department of Mathematics and Statistics University of Jyväskylä P.O. Box 35 FIN-40014 Univ. of Jyväskylä, Finland
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author = {Amiran Gogatishvili and Pekka Koskela},
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Amiran Gogatishvili; Pekka Koskela. A non-doubling Trudinger inequality. Studia Mathematica, Tome 170 (2005) no. 2, pp. 113-119. doi: 10.4064/sm170-2-1