• Title/Summary/Keyword: generalized H$\ddot{o}$lder estimates for the $\bar{\partial}$-equation

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GENERALIZED H$\ddot{O}$LDER ESTIMATES FOR THE $\bar{\partial}$-EQUATION ON CONVEX DOMAINS IN $\mathbb{C}^2$

  • Cho, Hong-Rae;Seo, Yeon-Seok
    • East Asian mathematical journal
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    • v.25 no.2
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    • pp.221-227
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    • 2009

  • In this paper, we introduce the generalized H$\ddot{o}$lder space with a majorant function and prove the H$\ddot{o}$lder regularity for solutions of the Cauchy-Riemann equation in the generalized Holder spaces on a bounded convex domain in $\mathbb{C}^2$.

  • https://doi.org/10.7858/eamj.2009.25.2.221 인용 PDF