Lipschitz continuous and compact composition operator acting between some weighted general hyperbolic-type classes
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In this paper, we study Lipschitz continuous, the boundedness and compactness of the composition operator $C_\phi$ acting between the general hyperbolic Bloch type-classes ${\mathcal{B}}^{*}_{p,\log,\alpha}$ and general hyperbolic Besov-type classes ${F_{p,\log}^{*}(p,q,s)}.$ Moreover, these classes are shown to be complete metric spaces with respect to the corresponding metrics.
Abstract
In this paper, we study Lipschitz continuous, the boundedness and compactness of the composition operator $C_\phi$ acting between the general hyperbolic Bloch type-classes ${\mathcal{B}}^{*}_{p,\log,\alpha}$ and general hyperbolic Besov-type classes ${F_{p,\log}^{*}(p,q,s)}.$ Moreover, these classes are shown to be complete metric spaces with respect to the corresponding metrics.
참고문헌 (12)
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