On some extremal problems in Bergman spaces in weakly pseudoconvex domains - Archive ouverte HAL
Article Dans Une Revue Communications in Mathematics Année : 2018

On some extremal problems in Bergman spaces in weakly pseudoconvex domains

Romi F. Shamoyan
  • Fonction : Auteur correspondant
Olivera R. Mihić
  • Fonction : Auteur

Résumé

We consider and solve extremal problems in various bounded weakly pseudoconvex domains in ℂ n based on recent results on boundedness of Bergman projection with positive Bergman kernel in Bergman spaces A α p $A_\alpha ^p$ 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.
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hal-03664959 , version 1 (11-05-2022)

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Romi F. Shamoyan, Olivera R. Mihić. On some extremal problems in Bergman spaces in weakly pseudoconvex domains. Communications in Mathematics, 2018, Volume 26 (2018), Issue 2 (2), pp.83 - 97. ⟨10.2478/cm-2018-0006⟩. ⟨hal-03664959⟩
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