On strict inclusions of weighted dirichlet spaces of monogenic functions
Copyright policy )On strict inclusions of weighted dirichlet spaces of monogenic functions
We consider a scale of weighted spaces a quaternion-valued functions of three real variables. This scale generalises the idea of Qp-spaces in complex function theory. The goal of this paper is to prove that the inclusions of spaces from the scale are strict inclusion. As a tool we prove some properties of special monogenic polynomials which have an importance in their own right independently of their use in the scale of Qp-spaces.
- University of Aveiro Portugal
- Bauhaus University, Weimar Germany
- University of Aveiro Portugal
Functions of hypercomplex variables and generalized variables, monogenic polynomials, Banach spaces of continuous, differentiable or analytic functions, hypercomplex function theory, \(Q_p\)-spaces, Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)), Dirichlet space
Functions of hypercomplex variables and generalized variables, monogenic polynomials, Banach spaces of continuous, differentiable or analytic functions, hypercomplex function theory, \(Q_p\)-spaces, Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)), Dirichlet space
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