East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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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 (Department of Mathematics Pusan National University) ;
  • Seo, Yeon-Seok (Department of Mathematics Pusan National University)
  • Received : 2009.01.19
  • Accepted : 2009.04.07
  • Published : 2009.06.30
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Abstract

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 $\mathbb{C}^2$.

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References

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