Convolution kernels of (<i>n</i> + 1)-fold Marcinkiewicz multipliers on the Heisenberg group
Convolution kernels of (<i>n</i> + 1)-fold Marcinkiewicz multipliers on the Heisenberg group
We prove a characterisation, in terms of regularity and cancellation conditions, of the convolution kernels of Marcinkiewicz multiplier operators m (๐ 1 ,โฆ,๐ n , iT ) on the Heisenberg group โ n , where ๐ 1 ,โฆ,๐ n are the n partial sub-Laplacians. The necessity of these regularity and โฆ