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On some inclusions analytic case
On some inclusions meromorphic case
3 other sections not shown
a-Besov-type classes a-Bloch spaces Ba a-normal functions analytic function spaces assertion follows Aulaskari Bergman space Besov spaces Besov-type spaces Bloch Carleson characterizations classes F*(p classes Qf coincide compact s-Carleson measure conclude conditions are equivalent consider the values constant C depends corresponding little classes corresponding to Theorem Definition denoted double integrals entire functions fc=l Fn(p following conditions following theorem shows follows from Theorem Fq(p Hadamard gaps Hardy space hence inclusion relations integral is bounded last integral Lemma Let f lim ff little space main theorems Math meromorphic function Moreover obtain omit the details oo cf Parseval's relation positive constant Proo proof of Theorem Proposition 4.1.1 proved result corresponding spaces and classes spaces F(p spaces F(p,q,s spaces of analytic spaces Qs spherical derivative strict inclusions Stroethoff supremum tends to zero Theorem 2.4 uniform convergence University of Joensuu weight function Zha2 Zhal Zhao Zhul