Geodesic
Operators on the Besov spaces of holomorphic functions on the unit ball in $\mathbb{C}^n$
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 51 (2017) no. 2, pp. 139-145

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In the present paper we consider the Toeplitz-$T^{\alpha}_{\bar{h}}$ and differentiation-$D^{\delta}$ operators on the Besov spaces $B_p(\beta)$ for all $0$. We show that $T^{\alpha}_{\bar{h}}:B_p(\beta)\rightarrow B_p(\beta)$ for $\bar{h}\in H^{\infty}(B^n)$ and $D^{\delta}:B_p(\beta)\rightarrow B_p(\tilde\beta)$ where $\widetilde\beta=\beta+p\delta$.
Keywords: weighted Besov spaces, unit ball, projection. 
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     author = {A. V. Harutyunyan and W. Lusky},
     title = {Operators on the {Besov} spaces of holomorphic functions on the unit ball in $\mathbb{C}^n$},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {139--145},
     publisher = {mathdoc},
     volume = {51},
     number = {2},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2017_51_2_a0/}
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A. V. Harutyunyan; W. Lusky. Operators on the Besov spaces of holomorphic functions on the unit ball in $\mathbb{C}^n$. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 51 (2017) no. 2, pp. 139-145. http://geodesic.mathdoc.fr/item/UZERU_2017_51_2_a0/