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从双倍权Bergman空间Aωp到Bloch型空间的Volterra型积分算子
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Abstract:
本文研究了从双倍权Bergman空间Aωp到Bloch型空间的Volterra型积分复合算子Tg? 和Sg? 的有界性和紧性问题,给出了Volterra 型积分复合算子的有界性和紧性刻画。
We consider the boundedness and compactness of Volterra type operators from the Bergman spaces Aωp with exponential weights to the Bloch Space. We obtain the characterizations of the boundedness and compactness of Volterra type integral com- position operators.
[1] | Pommerenke, C. (1977) Schlichte Funktionen und analytische Funktionen von beschr¨ankter mittlerer Oszillation. Commentarii Mathematici Helvetici, 52, 591-602. https://doi.org/10.1007/BF02567392 |
[2] | Li, S. (2008) Volterra Composition Operators between Weighted Bergman Spaces and Bloch Type Spaces. Journal of the Korean Mathematical Society, 45, 229-248. |
[3] | Pel′aez, J. and R¨atty¨a, J. (2014) Weighted Bergman Spaces Induced by Rapidly Increasing Weights. American Mathematical Society, Providence. |
[4] | Pel′aez, J. and R¨atty¨a, J. (2015) Embedding Theorems for Bergman Spaces via Harmonic Analysis. Mathematische Annalen, 362, 205-239. |