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Some remarks on the Cegrell class $\mathcal{F}$

Volume 125 / 2020

Hoang-Son Do, Thai Duong Do Annales Polonici Mathematici 125 (2020), 13-24 MSC: Primary 32U05, 32U15; Secondary 32T15, 31C10. DOI: 10.4064/ap200122-26-4 Published online: 3 July 2020

Abstract

We study the near-boundary behavior of functions $u\in \mathcal F (\Omega )$ in the case where $\Omega $ is strictly pseudoconvex. We also introduce a sufficient condition for belonging to $\mathcal F $ in the case where $\Omega $ is the unit ball.

Authors

  • Hoang-Son DoInstitute of Mathematics
    Vietnam Academy of Science and Technology
    18 Hoang Quoc Viet
    100000 Hanoi, Vietnam
    e-mail
    e-mail
  • Thai Duong DoInstitute of Mathematics
    Vietnam Academy of Science and Technology
    18 Hoang Quoc Viet
    100000 Hanoi, Vietnam
    e-mail

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