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.
Some a priori estimates for a class of operators in the Heisenberg group / Fausto Ferrari. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - STAMPA. - 193:4(2014), pp. 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:
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