# ON A BESOV SPACE AND RADIAL LIMITS

• Kim, Pil-Lan (DEPARTMENT OF MATHEMATICS EDUCATION ANDONG NATIONAL UNIVERSITY) ;
• Kwon, Ern-Gun (DEPARTMENT OF MATHEMATICS EDUCATION ANDONG NATIONAL UNIVERSITY) ;
• Park, Jong-Hee (DEPARTMENT OF MATHEMATICS EDUCATION ANDONG NATIONAL UNIVERSITY)
• Published : 2009.10.31

#### Abstract

A holomorphic function space in the unit disc D satisfying $\int_D|f'(z)|^p(1-|z|^2)^{p-1}dA(z)$<$\infty$ is quite close to $H^p$. The problems on the existence of the radial limits are considered for this space. It is proved that the situation for p > 2 is totally different from the situation for p $\leq$ 2.

#### References

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