This paper concerns the boundedness of the generalized spectral pro-jections P_λ associated to the sublaplacian in the Heisenberg group, seen as operators from L^1_t L^p_z to L^∞_t L^q_z . We formulate a conjecture about the range of p, q for which the projections P_λ are bounded and provide some motivations.
Some mixed norm bounds for the spectral projections of the Heisenberg sublaplacian
V. Casarino
;P. Ciatti
In corso di stampa
Abstract
This paper concerns the boundedness of the generalized spectral pro-jections P_λ associated to the sublaplacian in the Heisenberg group, seen as operators from L^1_t L^p_z to L^∞_t L^q_z . We formulate a conjecture about the range of p, q for which the projections P_λ are bounded and provide some motivations.File in questo prodotto:
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