On Some Complex Function Spaces and Classes |
Common terms and phrases
a-Besov-type classes a-normal functions analytic function assertion follows Bergman space Besov spaces Besov-type spaces Bloch space c n F(p CF(p characterizations classes F# coincide conclude conditions are equivalent constant C depends corresponding little classes corresponding to Theorem defined Definition denoted do₂ dow entire function F¹(p Fo(p following conditions following theorem shows follows from Theorem function spaces ƒ belongs ƒ F(p ƒ F(p,q ƒ ƒ Green's function Hadamard gaps Hardy space hence ƒ Hölder's inequality I₁(a integral is bounded Lemma Let f Let ƒ main theorems Math meromorphic function Moreover np-p+q+s omit the details positive constant proof of Theorem Proposition 4.1.1 proved Section spaces and classes spaces F spaces F(p spherical derivative strict inclusions U F(p University of Joensuu Zha2 Zhal Zhao Zhu1 Zhul