On some extremal problems in Bergman spaces in weakly pseudoconvex domains

Romi F. Shamoyan; Olivera R. Mihić

Communications in Mathematics (2018)

  • Volume: 26, Issue: 2, page 83-97
  • ISSN: 1804-1388

Abstract

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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 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.

How to cite

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Shamoyan, Romi F., and Mihić, Olivera R.. "On some extremal problems in Bergman spaces in weakly pseudoconvex domains." Communications in Mathematics 26.2 (2018): 83-97. <http://eudml.org/doc/294742>.

@article{Shamoyan2018,
abstract = {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.},
author = {Shamoyan, Romi F., Mihić, Olivera R.},
journal = {Communications in Mathematics},
keywords = {Bergman spaces; distance estimates; pseudoconvex domains; analytic functions},
language = {eng},
number = {2},
pages = {83-97},
publisher = {University of Ostrava},
title = {On some extremal problems in Bergman spaces in weakly pseudoconvex domains},
url = {http://eudml.org/doc/294742},
volume = {26},
year = {2018},
}

TY - JOUR
AU - Shamoyan, Romi F.
AU - Mihić, Olivera R.
TI - On some extremal problems in Bergman spaces in weakly pseudoconvex domains
JO - Communications in Mathematics
PY - 2018
PB - University of Ostrava
VL - 26
IS - 2
SP - 83
EP - 97
AB - 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.
LA - eng
KW - Bergman spaces; distance estimates; pseudoconvex domains; analytic functions
UR - http://eudml.org/doc/294742
ER -

References

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