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Poisson representations of Dunkl harmonic functions satisfying a Carleson condition

Dziubański, Jacek et al.
arXiv (All) · Papers
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functional-analysis
We prove that a smooth Dunkl harmonic function in the upper half-space whose Dunkl gradient satisfies a Carleson measure condition is the Poisson integral of a function in $\mathrm{BMO}(dw)$, defined using Euclidean balls. The result holds for arbitrary finite root systems and nonnegative multiplici
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