Romi F. Shamoyan ; Olivera R. Mihić - On some extremal problems in Bergman spaces in weakly pseudoconvex domains

cm:9477 - Communications in Mathematics, December 31, 2018, Volume 26 (2018), Issue 2 - https://doi.org/10.2478/cm-2018-0006
On some extremal problems in Bergman spaces in weakly pseudoconvex domainsArticle

Authors: Romi F. Shamoyan ; Olivera R. Mihić ORCID


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.

https://doi.org/10.2478/cm-2018-0006
Source: HAL:hal-03664959v1
Volume: Volume 26 (2018), Issue 2
Published on: December 31, 2018
Imported on: May 11, 2022
Keywords: [MATH]Mathematics [math]
Licence: Attribution-Non Commercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
Funding:
    Source : OpenAIRE Graph
  • Function spaces and their operators; Funder: Ministry of Education, Science and Technological Development of Republic of Serbia; Code: 174017

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Mathematics Subject Classification 20201
Sources:
  • [1] zbMATH Open.

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