It is shown that harmonic functions on some subsets, subharmonic and coinciding everywhere outside of these sets, actually coincide everywhere.Comment: 12 pages, in English. arXiv admin note: substantial text overlap with arXiv:2005.0040
We provide a sharp monotonicity theorem about the distribution of subharmonic functions on manifolds...
AbstractWe show that the spaces of harmonic functions with respect to the Poincaré metric in the uni...
AbstractLet A be a uniform algebra with maximal ideal space MA. A notion of subharmonicity is define...
We prove that the subharmonic envelope of a lower semicontinuous function on Ω is harmonic on a cert...
summary:This note verifies a conjecture of Král, that a continuously differentiable function, which ...
AbstractLetΩbe an open subset ofRd(d⩾2). Givenx∈Ω, a Jensenmeasureforxis a Borel probability measure...
In this note we present mean value characterizations of subharmonic functions related to linear seco...
After considering a variant of the generalized mean value inequality of quasinearly subharmonic func...
summary:Let ${\Cal H}$ denote the class of positive harmonic functions on a bounded domain $\Omega$ ...
We study approximation of subharmonic functions on the complex plane by logarithms of moduli of enti...
AbstractIn this paper we prove two theorems of Littlewood–Paley type for M-subharmonic functions. As...
AbstractIt is shown that any convex combination of harmonic measures μxU1,…,μxUk, where U1,…,Uk are ...
AbstractIn this paper we investigate some of the properties of harmonic and subharmonic functions de...
Wiman–Valiron theory and the results of Macintyre about “flat regions” describe the asymptotic behav...
summary:A generalization of Nevanlinna’s First Fundamental Theorem to superharmonic functions on Gre...
We provide a sharp monotonicity theorem about the distribution of subharmonic functions on manifolds...
AbstractWe show that the spaces of harmonic functions with respect to the Poincaré metric in the uni...
AbstractLet A be a uniform algebra with maximal ideal space MA. A notion of subharmonicity is define...
We prove that the subharmonic envelope of a lower semicontinuous function on Ω is harmonic on a cert...
summary:This note verifies a conjecture of Král, that a continuously differentiable function, which ...
AbstractLetΩbe an open subset ofRd(d⩾2). Givenx∈Ω, a Jensenmeasureforxis a Borel probability measure...
In this note we present mean value characterizations of subharmonic functions related to linear seco...
After considering a variant of the generalized mean value inequality of quasinearly subharmonic func...
summary:Let ${\Cal H}$ denote the class of positive harmonic functions on a bounded domain $\Omega$ ...
We study approximation of subharmonic functions on the complex plane by logarithms of moduli of enti...
AbstractIn this paper we prove two theorems of Littlewood–Paley type for M-subharmonic functions. As...
AbstractIt is shown that any convex combination of harmonic measures μxU1,…,μxUk, where U1,…,Uk are ...
AbstractIn this paper we investigate some of the properties of harmonic and subharmonic functions de...
Wiman–Valiron theory and the results of Macintyre about “flat regions” describe the asymptotic behav...
summary:A generalization of Nevanlinna’s First Fundamental Theorem to superharmonic functions on Gre...
We provide a sharp monotonicity theorem about the distribution of subharmonic functions on manifolds...
AbstractWe show that the spaces of harmonic functions with respect to the Poincaré metric in the uni...
AbstractLet A be a uniform algebra with maximal ideal space MA. A notion of subharmonicity is define...