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Paths for Subharmonic Functions
Proceedings of the London Mathematical Society, 1984The paths are investigated for non-negative subharmonic functions defined on the domains in \(R^ m\), \(m=2\), 3. Let u be a subharmonic function on the unit ball B(0,1) of \(R^ n\) and 0\(\leq u\leq 1\). Then for given \(\epsilon>0\) there exists \(r(\epsilon)>0\) with the following property: if \(| x-y|\epsilon\), \(u(y)>\epsilon\), \(| x|
Davis, Burgess, Lewis, John L.
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Generalized Lindelöf Finiteness Conditions for the λ-Type of a Subharmonic Function
Ukrainian Mathematical Journal, 2002 Встановлено критерій скінченності λ-типу субгармонійної функції. У випадку, коли λ(r) = rᵖ L(r), ρ ∊ N , де L — повільно змінна функція, цей критерій збігається з критерієм Ліндельофа.We establish a finiteness criterion for the λ-type of a subharmonic ...
A A Kondratyuk
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APPROXIMATION OF SUBHARMONIC FUNCTIONS
Mathematics of the USSR-Sbornik, 1985If the function f(z) is holomorphic in \(\Omega \subset R_ 2\), the function ln \(| f(z)|\) is subharmonic in \(\Omega\). In the paper the possibilities of approximations of subharmonic functions defined on an arbitrary domain \(\Omega \subset R_ 2\) are studied. For the case \(\Omega =R_ 2\) the problem is also solved. The approximation is realized by
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The logarithm of the modulus of a holomorphic function as a minorant for a subharmonic function
Mathematical Notes, 2016Bulat Khabibullin
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ESTIMATES FOR THE SUBHARMONIC DIFFERENCE OF SUBHARMONIC FUNCTIONS. II
Mathematics of the USSR-Sbornik, 1977openaire +2 more sources
Concentration index of a subharmonic function of zeroth order
Mathematical Notes, 1983A A Gol'Dberg
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Approximation of -subharmonic functions on bounded domains in
Journal of Mathematical Analysis and Applications, 2018Nguyen Quang Dieu
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