Radial Limits of M-Subharmonic Functions

DOI10.2307/2000226zbMath0609.31003OpenAlexW4242618244MaRDI QIDQ3749312

David C. Ullrich

Publication date: 1985

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2000226

zbMATH Keywords

radial limitholomorphic automorphism groupcompact isotropy groupM- subharmonic function

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Boundary behavior of harmonic functions in higher dimensions (31B25) Boundary behavior of holomorphic functions of several complex variables (32A40) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (13)

Non-isotropic Hausdorff capacity of exceptional sets of invariant potentials ⋮ Generalization of Fedorov's theorem to \(M\)-harmonic functions ⋮ Higher radial derivative of functions of \(Q_{p}\) spaces and its applications ⋮ On asymptotic behavior of the \(p\)th means of the Green potential for \(0<p\leq 1\) ⋮ Hardy-Carleson measures and their dual Poisson-Szegő transforms ⋮ A Littlewood and Paley-type inequality on the ball ⋮ On inner functions with \(H^p\) and \(B^p\) derivatives in the unit ball of \(\mathbb C^n\) ⋮ Rate of growth of pth means of invariant potentials in the unit ball of \({\mathbb{C}}^ n\) ⋮ Randomization of \(\mathbb Q_p\) spaces on the unit ball of \(\mathbb C^n\) ⋮ Boundary limits and non-integrability of $\mathcal M$-subharmonic functions in the unit ball of $\mathbb C^n (n\ge 1)$ ⋮ Rate of growth of \(p\)th means of invariant potentials in the unit ball of \(\mathbb{C}{}^ n\). II ⋮ 𝒩(p, q, s)-type spaces in the unit ball of 𝑪ⁿ(I): basic properties and Hadamard gaps ⋮ Inequalities for the gradient of eigenfunctions of the invariant Laplacian in the unit ball

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