Results 71 to 80 of about 5,162,686 (175)

Holomorphic Minorants of Plurisubharmonic Functions [PDF]

Functional Analysis and Its Applications, 2016
Let $u$ be a plurisubharmonic function. We prove the existence of a nonzero holomorphic function such that the logarithm of its modulus is not more than local averages of this function $u$. This is the abstract for scientific conference "Algebra, Analysis and Related Problems of Mathematical Modeling" (Vladikavkaz, June 26-27, 2015) dedicated to the ...
Baiguskarov, T. Yu., Khabibullin, Bulat N.   +1 more
openaire   +3 more sources

On computing local monodromy and the numerical local irreducible decomposition

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards, Jonathan D. Hauenstein   +1 more
wiley   +1 more source

Weighted Composition Operators from F(p,q,s) Spaces to Hμ∞ Spaces

Abstract and Applied Analysis, 2009
Let H(B) denote the space of all holomorphic functions on the unit ball B. Let u∈H(B) and φ be a holomorphic self-map of B. In this paper, we investigate the boundedness and compactness of the weighted composition operator uCφ from the general function ...
Xiangling Zhu
doaj   +1 more source

On The Third-Order Complex Differential Inequalities of ξ-Generalized-Hurwitz–Lerch Zeta Functions

Mathematics, 2020
In the z- domain, differential subordination is a complex technique of geometric function theory based on the idea of differential inequality. It has formulas in terms of the first, second and third derivatives.
Hiba Al-Janaby, Firas Ghanim, Maslina Darus   +2 more
doaj   +1 more source

Finely holomorphic functions

Journal of Functional Analysis, 1980
AbstractLet O(U) denote the finely harmonic functions on U a finely open subset of C such that ∂g∂z̄ = 0 almost surely on U. Define Af(K) to be those g in C(K) such that if K′ is the fine interior of K then g ¦K′ is in O(K). We prove that Af(K) is invariant under the Vitushkin localization operators, i.e., it is T-invariant.
openaire   +3 more sources

Local multiplicativity of perverse filtrations

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract Let f:S→C$f:S\rightarrow C$ be a proper surjective morphism from a smooth Kähler surface to a smooth curve. We show that the local perverse filtration associated with the induced map S[n]→C(n)$S^{[n]}\rightarrow C^{(n)}$ is multiplicative on each fiber if and only if f$f$ is an elliptic fibration.
Zili Zhang
wiley   +1 more source

Fatou and Korányi-Vági type theorems on the minimal ball [PDF]

, 2002
In this paper we develop the Hp (p [greater than or equal] 1) theory on the minimal ball. After identifying the admissible approach regions, we establish theorems of Fatou and Korányi-Vági type on this ...
Viêt-Anh Nguyên, Anh, Nguyên Viêt
core   +1 more source

Multipliers in Holomorphic Mean Lipschitz Spaces on the Unit Ball

Abstract and Applied Analysis, 2012
For 1≤p≤∞ and s>0, let Λsp be holomorphic mean Lipschitz spaces on the unit ball in ℂn. It is shown that, if s>n/p, the space Λsp is a multiplicative algebra. If s>n/p, then the space Λsp is not a multiplicative algebra.
Hong Rae Cho
doaj   +1 more source

Some Characterizations of Weighted Holomorphic Function Classes by Univalent Function Classes

Journal of Function Spaces, 2021
Some characterizations of QK,ωp,q− type classes of holomorphic functions by Schwarzian derivatives with known conformal-type mappings are introduced in the present manuscript.
A. El-Sayed Ahmed, S. Omran
doaj   +1 more source

Abelian number fields with frobenian conditions

Mathematika, Volume 72, Issue 4, October 2026.
Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
wiley   +1 more source