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http://dx.doi.org/10.4134/CKMS.2009.24.4.561

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)
Publication Information
Communications of the Korean Mathematical Society / v.24, no.4, 2009 , pp. 561-564 More about this Journal
Abstract
A holomorphic function space in the unit disc D satisfying $\int_D|f<$\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.
Keywords
radial limits; Besov space;
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1 E. G. Kwon, A note on the coefficients of mixed normed spaces, Bull. Austral. Math. Soc. 33 (1986), 253–260   DOI
2 A. Zygmund, Trigonometric Series, Cambridge University Press, London, 1959
3 P. L. Duren, Theory of Hp Spaces, Academic Press, New York, 1970
4 C. N. Kellog, An extension of the Hausdorff-Young theorem, Michigan Math. J. 18 (1971), 121–127   DOI