SU\G(𝔸)/K·U

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<i>N</i>-harmonic extensions of weighted integrable distributions

<i>N</i>-harmonic extensions of weighted integrable distributions

We obtain n ‐harmonic extensions to the Cartesian product of n copies of the upper half‐plane, of distributions in the weighted space , which is known to be the optimal space of tempered distributions that are ‐convolvable with a natural product domain version of the Poisson kernel.