Slice regular composition operators

DOI10.1080/17476933.2015.1113270zbMath1343.30042arXiv1410.4301OpenAlexW2269429139MaRDI QIDQ2811294

Xieping Wang, Guang Bin Ren

Publication date: 10 June 2016

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.4301

zbMATH Keywords

composition operatorsslice regular functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Linear composition operators (47B33)

Related Items (13)

Composition operators in Bloch spaces of slice hyperholomorphic functions ⋮ Slice regular weighted composition operators ⋮ Difference of quaternionic weighted composition operators on slice regular Fock spaces ⋮ The product operator between Bloch-type spaces of slice regular functions ⋮ Slice regular Besov spaces of hyperholomorphic functions and composition operators ⋮ s-regular functions which preserve a complex slice ⋮ Self-adjoint, unitary, and isometric weighted composition operators on quaternionic Fock space ⋮ \(\ast\)-logarithm for slice regular functions ⋮ Weighted composition operator on quaternionic Fock space ⋮ Slice Regular Functions on Regular Quadratic Cones of Real Alternative Algebras ⋮ $*$-exponential of slice-regular functions ⋮ The slice hyperholomorphic Bergman space on \(\mathbb {B}_{R}\): integral representation and asymptotic behavior ⋮ Carleson measures on Dirichlet type spaces in the quaternionic unit ball

Cites Work

• Norms of composition operators on weighted Hardy spaces
• Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions
• Regular Moebius transformations of the space of quaternions
• Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
• Extension results for slice regular functions of a quaternionic variable
• A Cauchy kernel for slice regular functions
• Zeros of regular functions and polynomials of a quaternionic variable
• The essential norm of a composition operator
• On composition of formal power series
• A new theory of regular functions of a quaternionic variable
• A new approach to Cullen-regular functions of a quaternionic variable
• Subordinate \(H^ P\) functions
• On composite formal power series
• Regular Functions of a Quaternionic Variable
• NONCOMMUTATIVE BELL POLYNOMIALS
• Norms of linear-fractional composition operators
• The Bohr Theorem for slice regular functions
• Regular Composition for Slice-Regular Functions of Quaternionic Variable
• A nonconstant coefficients differential operator associated to slice monogenic functions
• The Zero Sets of Slice Regular Functions and the Open Mapping Theorem
• Composition Operators

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