Slice regular composition operators
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Publication:2811294
DOI10.1080/17476933.2015.1113270zbMath1343.30042arXiv1410.4301OpenAlexW2269429139MaRDI QIDQ2811294
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
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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