Results 141 to 150 of about 1,371 (181)

APPROXIMATION OF SUBHARMONIC FUNCTIONS

Mathematics of the USSR-Sbornik, 1985
If 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
openaire   +4 more sources

AN ESTIMATE FOR THE SUBHARMONIC DIFFERENCE OF SUBHARMONIC FUNCTIONS. I

Mathematics of the USSR-Sbornik, 1977
Let , , and be subharmonic functions in the half-plane , and suppose that and are majorized by a positive function of the form , where and .An inequality for the subharmonic difference is obtained in terms of the function , , , which then gives an estimate for the difference from above.
openaire   +2 more sources

Conditions for subharmonicity and subharmonic extensions of functions

Sbornik: Mathematics, 2017
This paper establishes a general result about removable sets for subharmonic functions \(u\) based on the behaviour of the mean value \(M_{r}u(x)\) of \(u\) over the ball \(B(x,r)\) as \(r\rightarrow 0+\). Several applications are presented, of which a sample is now given.
openaire   +1 more source

Subharmonic Functions in the Unit Ball

Positivity, 2005
Let $u$ be a subharmonic function on the unit ball $B_{N}$ in $\Bbb{R}^N$ $(N\geq2)$, and let $µ$ be its associated Riesz measure. This paper establishes growth properties of $µ(s)\coloneq µ(\{\vert x\vert\leq s\})$ when growth restrictions are imposed on $u$. For example, let $g$ denote the Green function for $B_{N}$ with pole at $0$, and suppose that
openaire   +1 more source

Length of Paths for Subharmonic Functions

Journal of the London Mathematical Society, 1985
Let D be a simply connected domain in the complex plane and let a be a point in D. Let u be a subharmonic function on D with values in [0,1] such that \(u(a)>0\). The author shows that there exists a path \(\gamma\) joining a with a point b on the boundary of D such that \(\gamma\) \(\setminus \{b\}\subset D\) and \(4u>u(a)\) on \(\gamma\) \(\setminus \
openaire   +2 more sources

Subharmonic and h-Subharmonic Functions

2016
Miroljub Jevtić, Dragan Vukotić, Miloš Arsenović   +2 more
openaire   +1 more source

On a Class of Subharmonic Functions

Mathematische Nachrichten, 1973
Jain, P. K., Gupta, P. N., Gupta, V. P.
openaire   +1 more source

Integrals with a Meromorphic Function or the Difference of Subharmonic Functions over Discs and Planar Small Sets

Lobachevskii Journal of Mathematics, 2021
Bulat Khabibullin, Khabibullin B N
exaly  

Growth of Subharmonic Functions in a Semicircle

Vestnik St. Petersburg University, Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On the subharmonicity of separately subharmonic functions and generalizations

2021
openaire   +1 more source