Care tutte, cari tutti,
per il prossimo evento del ciclo dei Seminari di Analisi, giovedì 20 febbraio alle 17 in Aula Magna, avremo il piacere di ascoltare Raoní Cabral Ponciano (UFABC, Brasile), che terrà un seminario<https://www.dm.unipi.it/seminario/?id=67b3633c762f5b32f7b655a2> dal titolo "Sharp Sobolev and Adams-Trudinger-Moser embeddings for symmetric
functions without boundary conditions on hyperbolic spaces”. Trovate l'abstract qui sotto.
Il seminario<https://www.dm.unipi.it/seminario/?id=67927b293e96782493b3d76a> successivo sarà giovedì 27, con oratore Giorgio Tortone (UniPi). Seguiranno dettagli.
A presto,
Ilaria Lucardesi e Luigi Forcella
-----------------------------------
Dear all,
on Thursday February 20th at 5PM in Aula Magna, for the Mathematical Analysis Seminar, we will have the pleasure of listening to Raoní Cabral Ponciano (UFABC, Brazil). The title of the talk<https://www.dm.unipi.it/seminario/?id=67b3633c762f5b32f7b655a2> is "Sharp Sobolev and Adams-Trudinger-Moser embeddings for symmetric functions without boundary conditions on hyperbolic spaces". Please find the abstract below.
The following seminar<https://www.dm.unipi.it/seminario/?id=67927b293e96782493b3d76a> will be on thursday 27th, with speaker Giorgio Tortone (UniPi). Details will follow.
See you soon,
Ilaria Lucardesi and Luigi Forcella
-----------------------------------
Speaker: Raoní Cabral Ponciano (UFABC, Brazil)
Title: Sharp Sobolev and Adams-Trudinger-Moser embeddings for symmetric functions without boundary conditions on hyperbolic spaces
Abstract: Embedding theorems for symmetric functions without any boundary conditions have been studied on flat Riemannian manifolds, such as the Euclidean space. However, these theorems have only been established on hyperbolic spaces for functions with homogeneous Dirichlet conditions. In this presentation, we focus on sharp Sobolev and Adams–Trudinger–Moser embeddings for radial functions in hyperbolic spaces, considering both bounded and unbounded domains. One of the main features of our approach is that we do not assume any boundary conditions for symmetric functions on geodesic balls or the entire hyperbolic space. Our main results establish weighted Sobolev embedding theorems and present Adams-Trudinger-Moser type of embedding theorems. In particular, a key result is a highly nontrivial comparison between norms of the higher-order covariant derivatives and higher-order derivatives of the radial functions. Higher-order asymptotic behavior of radial functions on hyperbolic spaces is established to prove our main theorems. This approach includes novel radial lemmas and decay properties of higher-order radial Sobolev functions defined in hyperbolic space.
