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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.
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참고문헌 (12)
참고문헌 신청
A. El-Sayed Ahmed / 2009 / Composition operators on some holomorphic Banach function spaces / Math. Scand 104(2):275~295
A. El-Sayed Ahmed / 2011 / Composition operators acting between some weighted Mobius invariant spaces / Ann. Funct. Anal. AFA 2(2):138~152
A. El-Sayed Ahmed / 2012 / Natural metrics and composition operators in generalized hyperbolic function spaces / J. Inequal. Appl 185:1~13
S. Charpentier / 2013 / Compact composition operators on the Hardy-Orlicz and weighted Bergman-Orlicz spaces on the ball / J. Oper. Theory 69(2):463~481
M. Kotilainen / 2007 / Studies on composition operators and function spaces
A. El-Sayed Ahmed / 2011 / Composition operators acting between some weighted Mobius invariant spaces / Ann. Funct. Anal. AFA 2(2):138~152
A. El-Sayed Ahmed / 2012 / Natural metrics and composition operators in generalized hyperbolic function spaces / J. Inequal. Appl 185:1~13
S. Charpentier / 2013 / Compact composition operators on the Hardy-Orlicz and weighted Bergman-Orlicz spaces on the ball / J. Oper. Theory 69(2):463~481
M. Kotilainen / 2007 / Studies on composition operators and function spaces
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