Results 31 to 40 of about 10,470,703 (228)
Norm preserving extensionsof bounded holomorphic functions [PDF]
Transactions of the American Mathematical Society, 2017 Let $V$ be an analytic subvariety of a domain $\Omega$ in $\mathbb{C}^{n}$. When does $V$ have the property that every bounded holomorphic function $f$ on $V$ has an extension to a bounded holomorphic function on $\Omega$ with the same norm?
L. Kosinski, J. Mccarthy
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Weighted Composition Operators from H∞ to the Bloch Space on the Polydisc
Abstract and Applied Analysis, 2007 Let Dn be the unit polydisc of ℂn, ϕ(z)=(ϕ1(z),…,ϕn(z)) be a holomorphic self-map of Dn, and ψ(z) a holomorphic function on Dn. Let H(Dn) denote the space of all holomorphic functions with domain Dn, H∞(Dn) the space of all bounded holomorphic functions ...
Songxiao Li, Stevo Stevic
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Functional equation of a special Dirichlet series
International Journal of Mathematics and Mathematical Sciences, 1987 In this paper we study the special Dirichlet series L(s)=23∑n=1∞sin(2πn3)n−s, s∈C This series converges uniformly in the half-plane Re(s)>1 and thus represents a holomorphic function there.
Ibrahim A. Abou-Tair
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Noncritical holomorphic functions on Stein spaces
, 2015 We prove that every reduced Stein space admits a holomorphic function without critical points. Furthermore, any closed discrete subset of such a space is the critical locus of a holomorphic function.
Forstneric, Franc
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Compact weighted composition operators and fixed points in convex domains [PDF]
, 2006 We extend a classical result of Caughran/Schwartz and another recent result of Gunatillake by showing that if D is a bounded, convex domain in n-dimensional complex space, m is a holomorphic function on D and bounded away from zero toward the boundary of
Clahane, Dana D.
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An exact estimate of the third Hankel determinants for functions inverse to convex functions
Математичні Студії, 2023 Invesigation of bounds for Hankel determinat of analytic univalent functions is prominent intrest of many researcher from early twenth century to study geometric properties.
B. Rath, K. S. Kumar, D. V. Krishna
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SciPost Physics, 2020 We derive a holomorphic anomaly equation for the Vafa-Witten partition function for twisted four-dimensional $\mathcal{N} =4$ super Yang-Mills theory on $\mathbb{CP}^{2}$ for the gauge group $SO(3)$ from the path integral of the effective theory on ...
Atish Dabholkar, Pavel Putrov, Edward Witten
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Generation of subordinated holomorphic semigroups via Yosida's theorem
, 2014 Using functional calculi theory, we obtain several estimates for $\|\psi(A)g(A)\|$, where $\psi$ is a Bernstein function, $g$ is a bounded completely monotone function and $-A$ is the generator of a holomorphic $C_0$-semigroup on a Banach space, bounded ...
Gomilko, Alexander, Tomilov, Yuri
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The role of Fourier modes in extension theorems of Hartogs-Chirka type [PDF]
, 2004 We generalize Chirka's theorem on the extension of functions holomorphic in a neighbourhood of graph(F)\cup(\partial D\times D) -- where D is the open unit disc and graph(F) denotes the graph of a continuous D-valued function F -- to the bidisc.
Bharali +6 more
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On some properties of the linear-invariant family of n-th order
Lietuvos Matematikos Rinkinys, 2023 In the work the linear-invariant family n-th order is determined. The omega-operator and the functionals related with it are introduced on this family. Their properties are studied.
Eduardas Kirjackis, Jevgenijus Kirjackis
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