Results 51 to 60 of about 6,019,879 (179)
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
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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 +1 more
wiley +1 more source
, 1988 Let O ⊂ C, O ≠ Cbe an open set with simply connected components. For a function ϕ which is holomorphic on O, three new types of cluster sets are introduced; the classical cluster sets with values in Ĉ are replaced by certain cluster sets with values in ...
Luh, Wolfgang
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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
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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
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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
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Long‐time asymptotics of a full soliton gas for the Camassa–Holm equation
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We investigate the long‐time asymptotics of a full soliton gas for the Camassa–Holm equation. The analysis starts from a pure‐soliton Riemann–Hilbert (RH) problem with 2N$2N$ poles and two distinct types of residue conditions. We prove that, as N→∞$N\rightarrow \infty$, this discrete RH problem converges to a limiting soliton gas RH problem ...
Dedi Yan, Xianguo Geng, Minxin Jia
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The mod 2 Seiberg–Witten invariants of spin structures and spin families
Journal of Topology, Volume 19, Issue 4, December 2026.Abstract We completely determine the mod 2 Seiberg–Witten invariants for any spin structure on any closed, oriented, smooth 4‐manifold X$X$. Our computation confirms the validity of the simple‐type conjecture mod 2 for spin structures. Our proof also works for families of spin 4‐manifolds and thus computes the mod 2 Seiberg–Witten invariants for spin ...
David Baraglia
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The Legendrian Hopf link has exactly two Lagrangian fillings
Journal of Topology, Volume 19, Issue 4, December 2026.Abstract We prove that there are precisely two embedded exact Lagrangian fillings of the standard Legendrian Hopf link, up to compactly supported Hamiltonian isotopy. It was known that the standard Legendrian Hopf link admitted at least two such Lagrangian fillings: we show these are all.
Bryce Thomson
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Pick interpolation for free holomorphic functions [PDF]
, 2014 We give necessary and sufficient conditions to solve an interpolation problem for free holomorphic functions bounded in norm on a free polynomial polyhedron.
Agler, Jim +3 more
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