Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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GROWTH NORM ESTIMATES FOR ¯∂ ON CONVEX DOMAINS

  • Cho, Hong-Rae (Department of Mathematics Pusan National University) ;
  • Kwon, Ern-Gun (Department of Mathematics Education Andong National University)
  • Published : 2007.01.31
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Abstract

We consider the growth norm of a measurable function f defined by defined by $${\parallel}f{\parallel}-\sigma=ess\;sup\{\delta_D(z)^\sigma{\mid}f(z)\mid:z{\in}D\}$$, where $\delta_D(z)$ denote the distance from z to ${\partial}D$. We prove some kind of optimal growth norm estimates for a on convex domains.

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References

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