Results 51 to 60 of about 1,345 (163)

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 ...
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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 |
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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
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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
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Separately Subharmonic and Harmonic Functions are Subharmonic

, 2009
The paper has been withdrawn, because of an ...
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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
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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
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On functions subharmonic in a Lipschitz domain [PDF]

Proceedings of the American Mathematical Society, 1978
Let D be a starlike Lipschitz domain in R n
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On subharmonicity of doubly subharmonic functions [PDF]

Proceedings of the American Mathematical Society, 1966
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Strongly Subharmonic Functions.

MATHEMATICA SCANDINAVICA, 1964
Hörmander, Lars, GARDING, Lars
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