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α-Subharmonic Functions
In this paper, we study the class of α -subharmonic functions. A number of important properties of α -subharmonic functions are proved, and an...
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Nevanlinna–Djrbashian Classes of Functions Delta-Subharmonic in the Unit Disc
A function u is delta-subharmonic in a domain G and \(\nu \)...
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Orthogonal Decomposition of Functions Subharmonic in the Halfplane
In this chapter, we prove a orthogonal decomposition for some classes of functions subharmonic in...
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Generalized Subharmonic and Weakly Convex Functions
This paper is devoted to a conjecture formulated by Francesco Altomare and Ioan Raşa in 1999. It is concerned with the relationship between some...
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An Introduction to Reshetnyak’s Theory of Subharmonic Distances
The aim of the present text is to provide some basics around Reshetnyak’s theory of subharmonic distances on surfaces, together with an overview of...
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Banach Spaces of Functions Delta-Subharmonic in the Unit Disc
In this chapter we introduce some Banach spaces of delta-subharmonic in...
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The Harnack Distance and Separatedness of Sets as a Basis for Estimates of Subharmonic Functions from Below
AbstractGeneral estimates from below of holomorphic and subharmonic functions play one of the key roles in the theory of growth of holomorphic and...
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ON THE TYPE OF SUBHARMONIC FUNCTIONS OF FINITE ORDER
Theorems establishing a connection between the type of an entire function and the distribution of its zeros play an important role in the theory of...
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On Pluripotential Theory Associated to Quaternionic m-Subharmonic Functions
Many aspects of pluripotential theory are generalized to quaternionic m -subharmonic functions. We introduce quaternionic version of notions of the m -H...
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Integral Formulas of Carleman and Levin for Meromorphic and Subharmonic Functions
AbstractWhen studying the interrelations between the zero distributions of holomorphic and entire functions with the addition of pole distributions...
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Subclasses of Delta-subharmonic Functions of Bounded Type in the Halfplane
This chapter extends to delta-subharmonic functions the results of the previous chapter on the descriptive representations of some subclasses of...
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B-subharmonic Functions
Considering different problems with Bessel operator we inevitably should obtain the main theorems of harmonic analysis for Laplace–Bessel operator....
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Integrals with a Meromorphic Function or the Difference of Subharmonic Functions over Discs and Planar Small Sets
AbstractThe maximum of the modulus of a meromorphic function cannot be restricted from above by the Nevanlinna characteristic of this meromorphic...
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Valiron-Type and Valiron–Titchmarsh-Type Theorems for Subharmonic Functions of Slow Growth
Let u be a subharmonic function of order zero in ℝ m , m ≥ 2 , with Riesz measure μ on the negative semiaxis Ox 1 , n ( r, u ) = μ ({ x ∈ ℝ m : | x | ≤ r }) , d m = m ...
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Subharmonic Bifurcation for a Non-smooth Double Pendulum with Unilateral Impact
A unilateral impact double pendulum model with hinge links is constructed to detect subharmonic bifurcation for the high dimensional non-smooth...
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Harmonic and subharmonic functions; the Dirichlet problem
This chapter treats the Dirichlet problem: find a harmonic function on a domain...
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P-symmetric Subharmonic Solutions for Nonlinear Hamiltonian Systems
In this paper, we prove that for each positive k ≡ 1 mod m there exists a P -symmetric kmτ -periodic solution x k for asymptotically linear mτ -periodic...