ON A BESOV SPACE AND RADIAL LIMITS

Title & Authors
ON A BESOV SPACE AND RADIAL LIMITS
Kim, Pil-Lan; Kwon, Ern-Gun; Park, Jong-Hee;

Abstract
A holomorphic function space in the unit disc D satisfying $\small{\int_D|f`(z)|^p(1-|z|^2)^{p-1}dA(z)}$<$\small{\infty}$ is quite close to $\small{H^p}$. 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 $\small{\leq}$ 2.
Keywords
Language
English
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References
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