This chapter concerns the boundedness of the generalized spectral projections Pλ associated to the sublaplacian in the Heisenberg group, seen as operators from Lt1Lzp to Lt∞Lzq. We formulate a conjecture about the range of p,q for which the projections Pλ are bounded and provide some motivations.
Some Mixed Norm Bounds for the Spectral Projections of the Heisenberg Sublaplacian
V. Casarino
;P. Ciatti
2025
Abstract
This chapter concerns the boundedness of the generalized spectral projections Pλ associated to the sublaplacian in the Heisenberg group, seen as operators from Lt1Lzp to Lt∞Lzq. We formulate a conjecture about the range of p,q for which the projections Pλ are bounded and provide some motivations.
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