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Intrinsic ultracontractivity and the Dirichlet Laplacian

✍ Scribed by Burgess Davis


Book ID
103181807
Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
911 KB
Volume
100
Category
Article
ISSN
0022-1236

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It is shown in this paper that the conditional gauge theorem holds for symmetric :-stable processes on bounded C 1, 1 domains in R n where 0<:<2 and n 2. Two of the major tools used to prove this conditional gauge theorem are logarithmic Sobolev inequality and intrinsic ultracontractivity. ## 1997