Composition Followed by Differentiation between Bergman and Hardy Spaces

By R. A. Hibschweiler, N. Portnoy. 2005

158 citations recorded by the source corpus.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/d8c3b3e44ee73965e2c12aa152c0f55c7e2df08a

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In Applied Mathematics

1. S. Stević
2. Xiangling Zhu
3. Yutian Wu
4. Hasi Wulan
5. Shuichi Ohno
6. Songxiao Li
7. Weifeng Yang
8. Stevo Stevi´c

Citations in the corpus

• Products of composition and differentiation operators on the weighted Bergman space (2009, background): “Products of integral, differentiation and composition operators on spaces of analytic functions are studied in [4, 5, 11, 12, 13, 14, 16, 19, 29, 31, 34, 35].”
• Generalized Weighted Composition Operators on Weighted Bergman Spaces (2009, background): “When n = 1 and u(z) = 1, then Dn ,u = C D which was studied in [5, 10].”
• Products of differentiation and composition operators on the Bloch space (2012, background): “The boundedness and compactness of the operators DCφ and Cφ D on Hardy and Bergman spaces were investigated in [2] and [7].”
• Products of composition and differentiation between Hardy spaces (2006, methodology): “Hibschweiler and Portnoy [5] defined the products DCV and CVD and investigated the boundedness and the compactness of DCV and CVD between weighted Bergman spaces using the Carleson-type measures.”