AbstractIf u ≥ 0 is subharmonic on a domain Ω in ℝn and 0 < p < 1, then it is well-known that there is a constant C(n,p) ≥ 1 such u(x)p ≤ C)n,p) MV )up,B(x,r)) for each ball B(x,r)) ⊂ Ω. We show more generally that a similar result holds for functions ψ : ℝ+ → ℝ+ may be any surjective, concave function whose inverse ψ−1 satisfies the Δ2-condition
summary:Let $u$ be a $\delta $-subharmonic function with associated measure $\mu $, and let $v$ be a...
summary:This note verifies a conjecture of Král, that a continuously differentiable function, which ...
none2noThe aim of this paper is to study some classes of second-order divergence-form partial differ...
AbstractIf u ≥ 0 is subharmonic on a domain Ω in ℝn and 0 < p < 1, then it is well-known that there ...
none2noIn this paper we furnish mean value characterizations for subharmonic functions related to li...
We prove a converse of the mean value property for superharmonic and subharmonic functions. The case...
Suppose that u: G*(a,b) is a subharmonic function and that f: (a,b)*P is an increasing convex functi...
AbstractAn upper bound for the mean value of a non-negative submultiplicative function by R. R. Hall...
summary:Let ${\Cal H}$ denote the class of positive harmonic functions on a bounded domain $\Omega$ ...
AbstractLetΩbe an open subset ofRd(d⩾2). Givenx∈Ω, a Jensenmeasureforxis a Borel probability measure...
summary:A generalization of Nevanlinna’s First Fundamental Theorem to superharmonic functions on Gre...
Several mean value identities for harmonic and panharmonic functions are reviewed along with the cor...
After considering a variant of the generalized mean value inequality of quasinearly subharmonic func...
AbstractLet U be a domain in R2 such that Uc is polar and let τ be a real function on U such that 0 ...
A theorem characterizing analytically balls in the Euclidean space $\RR^m$ is proved. For this purpo...
summary:Let $u$ be a $\delta $-subharmonic function with associated measure $\mu $, and let $v$ be a...
summary:This note verifies a conjecture of Král, that a continuously differentiable function, which ...
none2noThe aim of this paper is to study some classes of second-order divergence-form partial differ...
AbstractIf u ≥ 0 is subharmonic on a domain Ω in ℝn and 0 < p < 1, then it is well-known that there ...
none2noIn this paper we furnish mean value characterizations for subharmonic functions related to li...
We prove a converse of the mean value property for superharmonic and subharmonic functions. The case...
Suppose that u: G*(a,b) is a subharmonic function and that f: (a,b)*P is an increasing convex functi...
AbstractAn upper bound for the mean value of a non-negative submultiplicative function by R. R. Hall...
summary:Let ${\Cal H}$ denote the class of positive harmonic functions on a bounded domain $\Omega$ ...
AbstractLetΩbe an open subset ofRd(d⩾2). Givenx∈Ω, a Jensenmeasureforxis a Borel probability measure...
summary:A generalization of Nevanlinna’s First Fundamental Theorem to superharmonic functions on Gre...
Several mean value identities for harmonic and panharmonic functions are reviewed along with the cor...
After considering a variant of the generalized mean value inequality of quasinearly subharmonic func...
AbstractLet U be a domain in R2 such that Uc is polar and let τ be a real function on U such that 0 ...
A theorem characterizing analytically balls in the Euclidean space $\RR^m$ is proved. For this purpo...
summary:Let $u$ be a $\delta $-subharmonic function with associated measure $\mu $, and let $v$ be a...
summary:This note verifies a conjecture of Král, that a continuously differentiable function, which ...
none2noThe aim of this paper is to study some classes of second-order divergence-form partial differ...