We derive sharp Moser-Trudinger inequalities on the CR sphere. The first type is in the Adams form, for powers of the sublaplacian and for general spectrally defined operators on the space of CR-pluriharmonic functions. We will then obtain the sharp Beckner-Onofri inequality for CR-pluriharmonic functions on the sphere and, as a consequence, a sharp logarithmic Hardy-Littlewood-Sobolev inequality in the form given by Carlen and Loss
Fontana, L., Branson, T., Morpurgo, C. (2013). Moser-Trudinger and Beckner-Onofri's inequalities on the CR sphere. ANNALS OF MATHEMATICS, 177(1), 1-52 [10.4007/annals.2013.177.1.1].
Moser-Trudinger and Beckner-Onofri's inequalities on the CR sphere
FONTANA, LUIGI;
2013
Abstract
We derive sharp Moser-Trudinger inequalities on the CR sphere. The first type is in the Adams form, for powers of the sublaplacian and for general spectrally defined operators on the space of CR-pluriharmonic functions. We will then obtain the sharp Beckner-Onofri inequality for CR-pluriharmonic functions on the sphere and, as a consequence, a sharp logarithmic Hardy-Littlewood-Sobolev inequality in the form given by Carlen and Loss
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
annals-v177-n1-p01-p.pdf
accesso aperto
Dimensione
685.18 kB
Formato
Adobe PDF
|
685.18 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
