Growth Properties of pth Means of Potentials in the Unit Ball

DOI10.2307/2046866zbMath0672.31005OpenAlexW4238631995MaRDI QIDQ3825311

Stephen J. Gardiner

Publication date: 1988

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

Full work available at URL: https://doi.org/10.2307/2046866

zbMATH Keywords

potentialmeanBlaschke productmean valueslogarithm of the modulus

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Related Items (15)

Growth properties near the origin for generalized Riesz potentials ⋮ Local growth properties of superharmonic functions ⋮ The characterization of orders for regular functions ⋮ Growth properties for Riesz potentials of functions in weighted variable \(L^{p(\cdot)}\) spaces ⋮ Asymptotic behaviour of \(p\) th means of analytic and subharmonic functions in the unit disc and angular distribution of zeros ⋮ Spherical Means of Beppo Levi Functions ⋮ Boundary growth of Sobolev functions for double phase functionals ⋮ Rate of growth of pth means of invariant potentials in the unit ball of \({\mathbb{C}}^ n\) ⋮ Growth properties of potentials in central Morrey–Orlicz spaces on the unit ball ⋮ Boundary growth of generalized Riesz potentials on the unit ball in the variable settings ⋮ Rate of growth of \(p\)th means of invariant potentials in the unit ball of \(\mathbb{C}{}^ n\). II ⋮ Spherical limits for Riesz potentials of functions in central generalized Orlicz-Morrey spaces on the unit ball ⋮ Sobolev type inequalities for fractional maximal functions and Green potentials in half spaces ⋮ Boundary growth of Sobolev functions of monotone type for double phase functionals ⋮ Uniform limits of Green potentials in the unit disc

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