Results 41 to 50 of about 1,345 (163)

Subharmonic functions, generalizations and separately subharmonic functions

, 2006
First, we give the definition for quasi-nearly subharmonic functions, now for general, not necessarily nonnegative functions, unlike previously. We point out that our function class incudes, among others, quasisubharmonic functions, nearly subharmonic functions (in a slightly generalized sense) and almost subharmonic functions.
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The exterior Dirichlet problem for the homogeneous complex k-Hessian equation

Advanced Nonlinear Studies, 2023
In this article, we consider the homogeneous complex kk-Hessian equation in an exterior domain Cn⧹Ω{{\mathbb{C}}}^{n}\setminus \Omega . We prove the existence and uniqueness of the C1,1{C}^{1,1} solution by constructing approximating solutions.
Gao Zhenghuan, Ma Xinan, Zhang Dekai
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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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Integral characteristics and distribution of roots of entire functions

Вестник Самарского университета: Естественнонаучная серия
We establish new relationships between the distribution of roots of entire functions and certain integral characteristics of the logarithms of the modules of these entire functions. These integral characteristics are constructed on the basis of arbitrary
E. B. Menshikova, B. N. Khabibullin
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On delta $m$-subharmonic functions

Annales Polonici Mathematici, 2016
Let \(\Omega\subset \mathbb C^n\) be a bounded \(m\)-hyperconvex domain, i.e, a domain for which there exists a bounded \(m\)-subharmonic exhaustion function, and assume \(1\leq m\leq n\). Let \(\mathcal E_{0,m}\) be the class of bounded \(m\)-subharmonic functions \(u\) in \(\Omega\) with zero boundary values and with bounded total \(m\)-Hessian mass \
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Integral mean of Green’s potentials and their conjugate

Karpatsʹkì Matematičnì Publìkacìï, 2013
The best possible estimates for Lebesgue integral means $m_q(r,F); (1le q
Vasyl'kiv, Ya. V., Kravec, M. Ya.
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A simple proof of the Radó and Král theorems on removability of the zero locus for analytic and harmonic functions

Доповiдi Нацiональної академiї наук України
A unified approach to the proof of the Radó and Král theorems on removability of the zero locus for analytic and harmonic functions is proposed.
A.V. Pokrovskii
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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.
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A Symmetrical Property of the Spectral Trace in Banach Algebras

Extracta Mathematicae, 2017
Our aim in this paper is to extend a symmetrical property of the trace by M. Kennedy and H. Radjavi for bounded operators on a Banach space to the more general situation of Banach algebras. The main ingredients are Vesentini’s result on subharmonicity of
Abdelaziz Maouche
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Hessian measures in the class of m-convex (m - cv) functions

Қарағанды университетінің хабаршысы. Математика сериясы
The theory of m-convex (m − cv) functions is a new direction in the real geometry. In this work, by using the connection m − cv functions with strongly m-subharmonic (shm) functions and using well-known and rich properties of shm functions, we show a ...
M.B. Ismoilov, R.A. Sharipov
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