Introduces and studies the Bohr radius R_{p,q,φ}(Ω,X) for vector-valued analytic functions on domains and establishes Bohr inequalities for operator-valued Cesàro and Bernardi operators.
Aizenberg, Multidimensional analogues of Bohr’s theorem on power series,Proc
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Authors derive sharp radii for the Bohr phenomenon applied to analytic functions on the family of domains Ω_γ for 0 ≤ γ < 1.
Bohr radii are derived for harmonic mappings in the classes HC(phi) and HC_c(phi) defined by subordination and linear dilation using a cited lemma on subordination classes.
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Bohr radius for Banach spaces on simply connected domains
Introduces and studies the Bohr radius R_{p,q,φ}(Ω,X) for vector-valued analytic functions on domains and establishes Bohr inequalities for operator-valued Cesàro and Bernardi operators.
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The Bohr Phenomenon for analytic functions on simply connected domains
Authors derive sharp radii for the Bohr phenomenon applied to analytic functions on the family of domains Ω_γ for 0 ≤ γ < 1.
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The Bohr inequality for certain harmonic mappings
Bohr radii are derived for harmonic mappings in the classes HC(phi) and HC_c(phi) defined by subordination and linear dilation using a cited lemma on subordination classes.