Results 81 to 90 of about 5,150,775 (195)

Remarks on subharmonic envelopes

, 2021
We prove that the subharmonic envelope of a lower semicontinuous function on Ω is harmonic on a certain open subset of Ω, using a very classical method in potential theory.
Ngoc Son, Duong
core  

Bloch and Gap Subharmonic Functions

Real Analysis Exchange, 2003
Let \({\mathbb B}_\alpha\) be the class of all positive subharmonic functions \(u\) in the open unit ball \(B_N\) of the space \({\mathbb R}^N\) such that \(G_\alpha (u) = \sup_{x\in B_N} (1-\| x\| ^2)^\alpha u(x) < +\infty.\) The analogous class \({\mathbb A}_\alpha\) of holomorphic in the disc functions \(f\) is defined by the condition \(\sup_{| z ...
openaire   +3 more sources

Exceptional Sets for Subharmonic Functions [PDF]

, 2015
Blanchet has shown that hypersurfaces of class C1 are removable singularities for subharmonic functions, provided the considered subharmonic functions satisfy certain assumptions.
Juhani Riihentaus
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Trace of Multiplication Operator Restricted to Invariant Subspaces of some Weighted Bergman Space

Cumhuriyet Science Journal
Let ω be a logarithmically subharmonic weight that is radial and reproducing for the origin, and L_a^2 (D,ωdA) be the weighted Bergman space. Let f be a bounded holomorphic function on the open unit disc, I be a z-invariant subspace of L_a^2 (D,ωdA), and
Faruk Yılmaz
doaj   +1 more source

Positive Lyapunov exponent of discrete analytic Jacobi operator

Electronic Journal of Differential Equations, 2017
In this article, we study the Lyapunov exponent of discrete analytic Jacobi operator with a family of some mappings on the torus. By applying the theory of subharmonic functions, we prove that the Lyapunov exponent is positive, if the coupling number ...
Kai Tao
doaj  

ON PLURIHARMONICITY CRITERIA OF HARMONIC AND \(\mathcal M\)-HARMONIC FUNCTIONS IN THE ARBITRARY BALL OF \({\mathbb C}^{n}\)

Ural Mathematical Journal
This paper introduces the concept of \({\mathcal M}\)-harmonic function in an arbitrary ball  of  \({\mathbb C}^{n}\) and proves some criteria for pluriharmonicity of harmonic functions in this ball.
Mokhira D. Vaisova
doaj   +1 more source

Analysis of the cavitating flow induced by an ultrasonic horn – Numerical 3D simulation for the analysis of vapour structures and the assessment of erosion-sensitive areas

EPJ Web of Conferences, 2014
This paper reports the outcome of a numerical study of ultrasonic cavitation using a CFD flow algorithm based on a compressible density-based finite volume method with a low-Machnumber consistent flux function and an explicit time integration [15; 18] in
Mottyll Stephan, Müller Saskia, Niederhofer Philipp, Hussong Jeanette, Huth Stephan, Skoda Romuald   +5 more
doaj   +1 more source

QUASI-NEARLY SUBHARMONIC FUNCTIONS AND CONFORMAL MAPPINGS

, 2014
If ϕ is a conformal mapping and u is a quasi-nearly subharmonic function, then u ◦ ϕ is quasi-nearly subharmonic.
Vesna Kojić
core  

The growth of subharmonic functions in a semicircle

Subharmonic functions $v$ in an unbounded open semiring, the growth of which is determined by the positive, continuous, increasing and unbounded function $\gamma(r)$, defined on $\[0;\infty\)$ (the growth function) are considered in the paper.
Alena A. Naumova
core   +1 more source

A Comparison Theorem for Subharmonic Functions [PDF]

Results in Mathematics, 2019
In this article, we prove an extension of the mean value theorem and a comparison theorem for subharmonic functions. These theorems are used to answer the question whether we can conclude that two subharmonic functions which agree almost everywhere on a surface with respect to the surface measure must coincide everywhere on that surface.
openaire   +3 more sources