For a fixed analytic univalent function ɸ, the class of meromorphic univalent α-convex functions with respect to ɸ is introduced. A representation theorem for functions in the class, as well as a ...

For an inner function θ on the upper half-plane ℂ+, we look at the star-invariant subspace ${\mathrm{K}}_{0}^{\mathrm{p}}:={\mathrm{H}}^{\mathrm{p}}\cap \mathrm ...