Abstract
Let \(\varphi\) be a holomorphic mapping between complex unit balls. We use the composition operators \(C_{\varphi }: f\mapsto f\circ \varphi\) to relate the hyperbolic Hardy classes and the logarithmic Bloch spaces.
Mathematics Subject Classification (2000). Primary 32A35, Secondary 32A18, 47B33
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Acknowledgements
The author “Evgueni Doubtsov” is grateful to the anonymous referee for helpful comments and suggestions. The author was partially supported by RFBR (grant No. 14-01-00198-a).
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Doubtsov, E. (2016). Hyperbolic Hardy Classes and Logarithmic Bloch Spaces. In: Ruzhansky, M., Tikhonov, S. (eds) Methods of Fourier Analysis and Approximation Theory. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-27466-9_3
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DOI: https://doi.org/10.1007/978-3-319-27466-9_3
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