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Image Area and the Weighted Subspaces of Hardy Spaces

Published online by Cambridge University Press:  20 November 2018

E. G. Kwon
E. G. Kwon*
Affiliation:
Department of Mathematics Education, Andong National University, Andong 760-749, (South) Korea
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Abstract

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Let Hp,ϕ be the subspace of Hardy space Hp consisting of those f ∊ Hp(Bn) satisfying where ϕ is a positive decreasing differentiable function on [0, 1) with ϕ(1—) = 0. Concerning image area growth, criteria for f to be of Hp,ϕ are considered extending known results for Hp.

Keywords

32A35
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 2 , 01 June 1990 , pp. 167 - 174
Copyright
Copyright © Canadian Mathematical Society 1990

References

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