P. Ciatti

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math.FA2009

Product kernels adapted to curves in the space

Valentina Casarino, Paolo Ciatti, Silvia Secco

We establish $L^{p}$ -boundedness for a class of operators that are given by convolution with product kernels adapted to curves in the space. The $L^{p}$ bounds follow from the decompos…

math.FA2008

Trasferring $L^{p}$ eigenfunction bounds from $S^{2 n + 1}$ to $h^{n}$

Valentina Casarino, Paolo Ciatti

By using the notion of contraction of Lie groups, we transfer $L^{p} - L^{2}$ estimates for joint spectral projectors from the unit complex sphere $\sfera$ in $C^{n + 1}$ to the…

Product kernels adapted to curves in the space

Trasferring Lp eigenfunction bounds from S2n+1 to hn

Trasferring $L^{p}$ eigenfunction bounds from $S^{2 n + 1}$ to $h^{n}$