Multipliers of Dirichlet series and monomial series expansions of holomorphic functions in infinitely many variables
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Annalen"
DOI: 10.1007/s00208-016-1511-1
Abstract: Let $${\mathscr {H}}_\infty $$H∞ be the set of all ordinary Dirichlet series $$D=\sum _n a_n n^{-s}$$D=∑nann-s representing bounded holomorphic functions on the right half plane. A completely multiplicative sequence $$(b_n)$$(bn) of complex numbers is said… read more here.
Keywords: sum; mathscr infty; dirichlet series; holomorphic functions ... See more keywords
Order Versions of the Hahn–Banach Theorem and Envelopes. II. Applications to Function Theory
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DOI: 10.1007/s10958-021-05490-4
Abstract: Chapter 1 deals with the problem of the existence of an upper/lower envelope from a convex cone or, more generally, a convex set for functions on the projective limit of vector lattices with values in… read more here.
Keywords: banach theorem; holomorphic functions; versions hahn; function ... See more keywords
Simple zero property of some holomorphic functions on the moduli space of tori
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DOI: 10.1007/s11425-018-9355-0
Abstract: We prove that some holomorphic functions on the moduli space of tori have only simple zeros. Instead of computing the derivative with respect to the moduli parameter τ, we introduce a conceptual proof by applying… read more here.
Keywords: simple zero; holomorphic functions; moduli space; functions moduli ... See more keywords
Variable order fractional integrals in variable generalized Hölder spaces of holomorphic functions
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DOI: 10.1007/s13324-021-00587-0
Abstract: We introduce and study the variable generalized Holder spaces of holomorphic functions over the unit disc in the complex plane. These spaces are defined either directly in terms of modulus of continuity or in terms… read more here.
Keywords: variable generalized; fractional integrals; holomorphic functions; spaces holomorphic ... See more keywords
Holomorphic functions of finite order generated by Dirichlet series
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DOI: 10.1007/s43037-022-00184-8
Abstract: Given a frequency λ = (λn) and l ≥ 0, we introduce the scale of Banach spaces H ∞,l[Re > 0] of holomorphic functions f on the right half-plane [Re > 0], which satisfy (A)… read more here.
Keywords: riesz; holomorphic functions; order; dirichlet series ... See more keywords
Polynomials and holomorphic functions on A-compact sets in Banach spaces
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.03.070
Abstract: Abstract In this paper we study the behavior of holomorphic mappings on A -compact sets. Motivated by the recent work of Aron, Caliskan, Garcia and Maestre (2016), we give several conditions (on the holomorphic mappings… read more here.
Keywords: sets banach; banach spaces; holomorphic functions; polynomials holomorphic ... See more keywords
A Urysohn-type theorem and the Bishop-Phelps-Bollobás theorem for holomorphic functions
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.123393
Abstract: Abstract A Urysohn-type theorem is introduced for a subalgebra of the algebra C b ( Ω ) of all bounded complex-valued continuous functions on a Hausdorff topological space Ω. With use of this theorem, it… read more here.
Keywords: holomorphic functions; theorem; bishop phelps; type theorem ... See more keywords
Universality of automorphisms on the ball of bounded holomorphic functions on the polydisk
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DOI: 10.1016/j.jmaa.2019.123581
Abstract: Given a sequence of automorphisms of the polydisk, we show that the associated composition semigroup homomorphisms on the ball of bounded holomorphic functions on the polydisk admit a universal inner function if a certain condition… read more here.
Keywords: holomorphic functions; universality automorphisms; bounded holomorphic; ball bounded ... See more keywords
The iterates of composition operators on Banach spaces of holomorphic functions
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.123945
Abstract: Abstract In this paper we study uniform convergence, strong convergence, weak convergence, and ergodicity of the iterates of composition operators C φ on various Banach spaces of holomorphic functions on the unit disk, such as… read more here.
Keywords: banach spaces; holomorphic functions; spaces holomorphic; composition operators ... See more keywords
Polynomial interpolation of holomorphic functions based on Radon projections
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DOI: 10.1080/17476933.2020.1755968
Abstract: ABSTRACT We study polynomial interpolation of Hermite type of holomorphic functions based on Radon projections. We give two kinds of interpolation schemes and show that the interpolation polynomials are continuous with respect to the angles… read more here.
Keywords: based radon; polynomial interpolation; functions based; radon projections ... See more keywords
Angular derivatives and semigroups of holomorphic functions
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DOI: 10.1215/00192082-7897499
Abstract: A simply connected domain Ω⊂C is convex in the positive direction if for every z∈Ω, the half-line {z+t:t≥0} is contained in Ω. We provide necessary and sufficient conditions for the existence of an angular derivative… read more here.
Keywords: semigroups holomorphic; angular derivatives; holomorphic functions; derivatives semigroups ... See more keywords