1 - 7 of 7 articles
We prove the compactness of the imbedding of the Sobolev space
for any relatively compact open subset
of an Alexandrov space. As a corollary, the generator induced from the Dirichlet (energy) form has discrete spectrum. The generator can...
We study the
-part of the wild kernel of a number field for odd prime in connection with the arithmetic of logarithmic
-class groups and we characterize the propagation of the triviality of wild kernel in a Galois
-extension of totally real fields in terms of...
A compact set C in the Riemann sphere is called uniformly perfect if there is a uniform upper bound on the moduli of annuli which separate C. Julia sets of rational maps of degree at least two are uniformly perfect. Proofs have been given independently by Ma né and da Rocha and by Hinkkanen, but...
In this paper, we prove that the dimension of the space of positive (bounded, respectively)
-harmonic functions on a complete Riemannian manifold with
-regular ends is equal to the number of ends (
-nonparabolic ends, respectively). This result is a...
Recently Wolff  obtained a nearly sharp
bilinear restriction theorem for bounded subsets of the cone in general dimension. We obtain the endpoint of Wolff's estimate and generalize to the case when one of the subsets is large. As a consequence, we are able to deduce some...
Nous commencons par une étude générale des actions affines sur les arbres réels. Nous prouvons que, sauf cas dégénérés, l'action par isométries du sous-groupe des commutateurs détermine l'action affine du groupe total. Ensuite, nous exhibons des actions affines libres de groupes qui ne peuvent...
Read and print from thousands of top scholarly journals.
Continue with Facebook
Sign up with Google
Log in with Microsoft
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Sign Up Log In
To subscribe to email alerts, please log in first, or sign up for a DeepDyve account if you don’t already have one.
To get new article updates from a journal on your personalized homepage, please log in first, or sign up for a DeepDyve account if you don’t already have one.