Geodesic
A Sharp Constant for the Bergman Projection
Canadian mathematical bulletin, Tome 58 (2015) no. 1, pp. 128-133

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DOI

For the Bergman projection operator $P$ we prove that $$\left\| P:\,{{L}^{1}}\left( B,\,d\lambda\right)\,\to \,{{B}_{1}} \right\|\,=\,\frac{\left( 2n\,+\,1 \right)!}{n!}.$$ Here $\lambda$ stands for the hyperbolic metric in the unit ball $B$ of ${{\mathbb{C}}^{n}}$ , and ${{B}_{1}}$ denotes the Besov space with an adequate semi-norm. We also consider a generalization of this result. This generalizes some recent results due to Perälä.
DOI : 10.4153/CMB-2014-034-0
Mots-clés : 45P05, 47B35, Bergman projections, Besov spaces 
Marković, Marijan. A Sharp Constant for the Bergman Projection. Canadian mathematical bulletin, Tome 58 (2015) no. 1, pp. 128-133. doi: 10.4153/CMB-2014-034-0
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     title = {A {Sharp} {Constant} for the {Bergman} {Projection}},
     journal = {Canadian mathematical bulletin},
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     year = {2015},
     volume = {58},
     number = {1},
     doi = {10.4153/CMB-2014-034-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2014-034-0/}
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