Geodesic
On some extremal problems in Bergman spaces in weakly pseudoconvex domains
Communications in Mathematics, Tome 26 (2018) no. 2, pp. 83-97.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We consider and solve extremal problems in various bounded weakly pseudoconvex domains in $\mathbb {C}^{n}$ based on recent results on boundedness of Bergman projection with positive Bergman kernel in Bergman spaces $A_{\alpha }^{p}$ in such type domains. We provide some new sharp theorems for distance function in Bergman spaces in bounded weakly pseudoconvex domains with natural additional condition on Bergman representation formula.
Classification : 42B15, 42B30
Keywords: Bergman spaces; distance estimates; pseudoconvex domains; analytic functions 
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     author = {Shamoyan, Romi F. and Mihi\'c, Olivera R.},
     title = {On some extremal problems in {Bergman} spaces in weakly pseudoconvex domains},
     journal = {Communications in Mathematics},
     pages = {83--97},
     publisher = {mathdoc},
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     number = {2},
     year = {2018},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/COMIM_2018__26_2_a0/}
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Shamoyan, Romi F.; Mihić, Olivera R. On some extremal problems in Bergman spaces in weakly pseudoconvex domains. Communications in Mathematics, Tome 26 (2018) no. 2, pp. 83-97. http://geodesic.mathdoc.fr/item/COMIM_2018__26_2_a0/