INSTYTUT MATEMATYCZNY · POLSKA AKADEMIA NAUK STUDIA MATHEMATICA ISSN: 0039-3223(p) 1730-6337(e)

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A non-doubling Trudinger inequality

Amiran Gogatishvili¹, Pekka Koskela²
Studia Math. 170 (2005), 113-119
doi:10.4064/sm170-2-1

Abstract: 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.


MSC (2000): Primary 46E35.
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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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