Slice holomorphic functions in several variables with bounded \(L\)-index in direction

DOI10.3390/AXIOMS8030088zbMath1432.32002OpenAlexW2966430289MaRDI QIDQ2306618

Andriy Bandura, O. B. Skaskiv

Publication date: 24 March 2020

Published in: Axioms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/axioms8030088

zbMATH Keywords

entire functionbounded \(l\)-indexbounded indexbounded \(L\)-index in directionslice function

Mathematics Subject Classification ID

Special families of functions of several complex variables (32A17) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Holomorphic functions of several complex variables (32A10) Monogenic and polygenic functions of one complex variable (30A05) Spaces and algebras of analytic functions of one complex variable (30H99)

Related Items (6)

Slice holomorphic functions in the unit ball: boundedness of \(L\)-index in a direction and related properties ⋮ Analytic in a unit polydisc functions of bounded \(L\)-index in direction ⋮ Note on boundedness of the \(L\)-index in the direction of the composition of slice entire functions ⋮ Slice holomorphic solutions of some directional differential equations with bounded \(L\)-index in the same direction ⋮ Entire functions of bounded index in frame ⋮ Local properties of the entire functions of bounded index in a frame

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