Geodesic
A note on a two-parameter family of operators $\mathcal{A}^{b,c}$ on weighted Bergman spaces
Problemy analiza, Tome 8 (2019) no. 3, pp. 125-136

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In this article, we prove that the two-parameter family of operators ${\mathcal A}^{b,c}$ is bounded on the weighted Bergman spaces $B_{\alpha+c-1}^p$ if $\alpha+2$ and unbounded if $\alpha+2=p$.
Keywords: generalized Cesáro operator, weighted Bergman space, boundedness. 
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     author = {S. Naik and P. K. Nath},
     title = {A note on a two-parameter family of operators $\mathcal{A}^{b,c}$ on weighted {Bergman} spaces},
     journal = {Problemy analiza},
     pages = {125--136},
     publisher = {mathdoc},
     volume = {8},
     number = {3},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2019_8_3_a11/}
}
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S. Naik; P. K. Nath. A note on a two-parameter family of operators $\mathcal{A}^{b,c}$ on weighted Bergman spaces. Problemy analiza, Tome 8 (2019) no. 3, pp. 125-136. http://geodesic.mathdoc.fr/item/PA_2019_8_3_a11/