Affiliation:
1. Department of Mathematics, Kanazawa Medical University, Uchinada, Ishikawa, Japan
Abstract
Let 𝑁p(𝐵n) (𝑝 > 1) be the Privalov class of holomorphic functions on the unit ball 𝐵n in the space of 𝑛-complex variables. The class 𝑁p(𝐵n) (𝑝 > 1), equipped with the topology given by a natural metric, becomes an 𝐹-algebra. In this paper, we shall introduce a Fréchet space Fp(𝐵n) (𝑝 > 1) of holomorphic functions on 𝐵n which contains 𝑁p(𝐵n). Moreover, we shall characterize some topological properties of Fp(𝐵n) induced by the family of semi norms on Fp(𝐵n) .
Publisher
Keldysh Institute of Applied Mathematics
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