top
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, and Pekka Koskela. "A non-doubling Trudinger inequality." Studia Mathematica 170.2 (2005): 113-119. <http://eudml.org/doc/284697>.
@article{AmiranGogatishvili2005, 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.}, author = {Amiran Gogatishvili, Pekka Koskela}, journal = {Studia Mathematica}, language = {eng}, number = {2}, pages = {113-119}, title = {A non-doubling Trudinger inequality}, url = {http://eudml.org/doc/284697}, volume = {170}, year = {2005}, }
TY - JOUR AU - Amiran Gogatishvili AU - Pekka Koskela TI - A non-doubling Trudinger inequality JO - Studia Mathematica PY - 2005 VL - 170 IS - 2 SP - 113 EP - 119 AB - 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. LA - eng UR - http://eudml.org/doc/284697 ER -