Results 11 to 20 of about 1,531 (218)
Separately subharmonic functions need not be subharmonic [PDF]
Proceedings of the American Mathematical Society, 1988 We give an example of a separately subharmonic function which is not subharmonic.
Jan Wiegerinck
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SUBHARMONIC AND STRONGLY SUBHARMONIC FUNCTIONS
, 2022 "Science and innovation" international scientific journal.
Jevtić, Miroljub
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Best Approximation by Subharmonic Functions [PDF]
Proceedings of the American Mathematical Society, 1992 Let Ω ⊂
Wilson, J. M., Zwick, D.
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L^p-subharmonic functions in R^n
Electronic Journal of Differential Equations, 2016 We prove that if u is an $L^p$-subharmonic function defined outside a compact set in $\mathbb{R}^n$, it is bounded above near infinity, in particular, if the subharmonic function u is in $L^p(\mathbb{R}^n)$, $1\leq ...
Moustafa Damlakhi
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Integrability of superharmonic functions and subharmonic functions [PDF]
Proceedings of the American Mathematical Society, 1994 We apply the coarea formula to obtain integrability of superharmonic functions and nonintegrability of subharmonic functions. The results involve the Green function. For a certain domain, say Lipschitz domain, we estimate the Green function and restate the results in terms of the distance from the boundary.
Hiroaki Aikawa
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On growth majorants of subharmonic functions [PDF]
Математичні Студії, 2011 We describe growth majorants of subharmonic in R^m (m≥2) functions. To do this, we exceptionally reduce the problem to problems in the theory of positive monotonous functions.
Yu. S. Protsyk, Ya. V. Vasyl’kiv
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Harmonic morphisms and subharmonic functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 Let M be a complete Riemannian manifold and N a complete noncompact Riemannian manifold. Let ϕ:M→N be a surjective harmonic morphism. We prove that if N admits a subharmonic function with finite Dirichlet integral which is not harmonic, and ϕ has finite
Gundon Choi, Gabjin Yun
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Subharmonic functions in certain regions [PDF]
Transactions of the American Mathematical Society, 1972 In a recent paper Hellsten, Kjellberg, and Norstad considered bounded subharmonic functions u in |
John L. Lewis
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Asymptotics of $\delta$-subharmonic functions of finite order
Математичні Студії, 2020 For $\delta$-subharmonic in $\mathbb{R}^m$, $m\geq2$, function $u=u_1-u_2$ of finite positive order we found the asymptotical representation of the form \[ u(x)=-I(x,u_1)+I(x,u_2) +O\left(V(|x|)\right),\ x\to\infty, \] where $I(x,u_i)=\int\limits_{|a-x ...
M.V. Zabolotskyi
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On some Schwarz type inequalities
Journal of Inequalities and Applications, 2020 First, we establish some Schwarz type inequalities for mappings with bounded Laplacian, then we obtain boundary versions of the Schwarz lemma.
Miodrag Mateljević, Adel Khalfallah
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