Invariant mean-value property and \(\mathcal M\)-harmonicity in the unit ball of \(\mathbb{R}^n\)

DOI10.1007/s10114-002-0203-9zbMath1031.31001OpenAlexW2047073155MaRDI QIDQ1566039

Cong Wen Liu, Ji Huai Shi

Publication date: 22 February 2004

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-002-0203-9

zbMATH Keywords

Laplace-Beltrami operator\(\mathcal{M}\)-harmonicinvariant mean-value property

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Linear operators on function spaces (general) (47B38) Research exposition (monographs, survey articles) pertaining to potential theory (31-02)

Related Items

Invariant mean value property and $\mathcal M$-harmonicity on the half-space ⋮ Toeplitz operators on the unit ball with locally integrable symbols ⋮ Continuous embeddings in harmonic mixed norm spaces on the unit ball in \(\mathbb{R}^n\) ⋮ Harmonic Bergman spaces on the real hyperbolic ball: atomic decomposition, interpolation and inclusion relations ⋮ Weighted Berezin transform in the polydisc ⋮ Fixed points of poly-Berezin transforms ⋮ Weighted harmonic Bloch spaces on the ball ⋮ Hardy-Sobolev-Maz'ya inequalities for polyharmonic operators ⋮ Harmonic Besov spaces with small exponents ⋮ Inclusion relations between harmonic Bergman-Besov and weighted Bloch spaces on the unit ball ⋮ Positive Toeplitz operators from a harmonic Bergman-Besov space into another ⋮ \(\mathcal{H}\)-harmonic Bergman projection on the real hyperbolic ball

Cites Work

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