In this note, we provide some a priori estimates for a class of operators that stem from the Laplacian in the Heisenberg group. We follow the idea contained in a proof given by Talenti, see (Ann Scuola Norm Sup Pisa Cl Sci (4) 3(4): 697–718, 1976), by adapting the classical notion of symmetrized rearrangement of a function to the framework of the Heisenberg group.
Fausto Ferrari (2014). Some a priori estimates for a class of operators in the Heisenberg group. ANNALI DI MATEMATICA PURA ED APPLICATA, 193(4), 1019-1040 [10.1007/s10231-012-0313-7].
Some a priori estimates for a class of operators in the Heisenberg group
FERRARI, FAUSTO
2014
Abstract
In this note, we provide some a priori estimates for a class of operators that stem from the Laplacian in the Heisenberg group. We follow the idea contained in a proof given by Talenti, see (Ann Scuola Norm Sup Pisa Cl Sci (4) 3(4): 697–718, 1976), by adapting the classical notion of symmetrized rearrangement of a function to the framework of the Heisenberg group.File in questo prodotto:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
