Refine
Document Type
- Conference Proceeding (1)
- Doctoral Thesis (1)
Institute
Keywords
- Angewandte Informatik (1)
- Angewandte Mathematik (1)
- Architektur <Informatik> (1)
- BMOM-Raum (1)
- Basic sets of polynomials (1)
- Besov spaces (1)
- Besov-Räume (1)
- Bloch space (1)
- Bloch-Raum (1)
- Clifford-Algebra (1)
- Computer Science Models in Engineering; Multiscale and Multiphysical Models; Scientific Computing (1)
- Computerunterstütztes Verfahren (1)
- Funktionenraum (1)
- Holomorphe Funktion (1)
- Op spaces (1)
- Op-Räume (1)
- Quaternionenalgebra (1)
- VMOM Raum (1)
- VMOM space (1)
In this Thesis we study some complex and hypercomplex function spaces and classes such as hypercomplex Besov spaces, Bloch space and Op spaces as well as the class of basic sets of polynomials in several complex variables. It is shown that hyperholomorphic Besov spaces can be applied to characterize the hyperholomorphic Bloch space. Moreover, we consider BMOM and VMOM spaces.
We give a sufficient and a necessary condition for an analytic function "f" on the unit disk "D" with Hadamard gap to belong to a class of weighted logarithmic Bloch space as well as to the corresponding little weighted logarithmic Bloch space under some conditions posed on the defined weight function. Also, we study the relations between the class of weighted logarithmic Bloch functions and some other classes of analytic functions by the help of analytic functions in the Hadamard gap class.