Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
A system of conjugate functions on parabolic Bloch spaces
Yôsuke HishikawaMasaharu NishioMasahiro Yamada
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2018 Volume 70 Issue 3 Pages 1085-1102

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Abstract

The parabolic Bloch space is the set of all solutions 𝑢 of the parabolic operator 𝐿(α) with the finite Bloch norm ‖𝑢‖𝓑α(σ). In this paper, we introduce 𝐿^(α)-conjugates of parabolic Bloch functions, and investigate several properties. As an application, we give an isomorphism theorem on parabolic Bloch spaces.

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© 2018 The Mathematical Society of Japan
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