A system of conjugate functions on parabolic Bloch spaces
2018 年 70 巻 3 号 p. 1085-1102
詳細
2018 年 70 巻 3 号 p. 1085-1102
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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