Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2009; 24(4): 561-564

Printed December 1, 2009

https://doi.org/10.4134/CKMS.2009.24.4.561

Copyright © The Korean Mathematical Society.

On a Besov space and radial limits

Pil Lan Kim, Ern Gun Kwon, and Jong Hee Park

Andong National University, Andong National University, and Andong National University

Abstract

A holomorphic function space in the unit disc $D$ satisfying $$ \int_D \vert f'(z)\vert^p (1-\vert z\vert^2)^{p-1} ~dA(z) ~2$ is totally different from the situation for $p\leq 2$.

Keywords: radial limits, Besov space

MSC numbers: Primary 30H05