A new mean value property for harmonic functions relative to the Dunkl-Laplacian operator and applications
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Publication:2790606
DOI10.1090/tran/6671zbMath1337.31014OpenAlexW1486776075MaRDI QIDQ2790606
Chaabane Rejeb, Léonard Gallardo
Publication date: 7 March 2016
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/tran/6671
Related Items (19)
Dunkl translations, Dunkl-type BMO space, and Riesz transforms for the Dunkl transform on \(L^\infty \) ⋮ A mean value formula for the iterated Dunkl-Helmoltz operator ⋮ Radial mollifiers, mean value operators and harmonic functions in Dunkl theory ⋮ Unnamed Item ⋮ Potential kernels for radial Dunkl Laplacians ⋮ Newtonian potentials and subharmonic functions associated to root systems ⋮ Weighted inequalities for multilinear fractional operators in Dunkl setting ⋮ Singular integrals in the rational Dunkl setting ⋮ Support properties of the intertwining and the mean value operators in Dunkl theory ⋮ Translation operator and maximal function for the \((k,1)\)-generalized Fourier transform ⋮ The range of the spectral projection associated with the Dunkl Laplacian ⋮ On the Green function and Poisson integrals of the Dunkl Laplacian ⋮ An Introduction to Dunkl Theory and Its Analytic Aspects ⋮ Riesz potentials of Radon measures associated to reflection groups ⋮ Schrödinger operators with reverse Hölder class potentials in the Dunkl setting and their Hardy spaces ⋮ On semigroups generated by sums of even powers of Dunkl operators ⋮ Green function and Poisson kernel associated to root systems for annular regions ⋮ Hörmander's multiplier theorem for the Dunkl transform ⋮ Harmonic functions, conjugate harmonic functions and the Hardy space \(H^1\) in the rational Dunkl setting
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