On the Local Hölder Boundary Smoothness of an Analytic Function in the Unit Ball Compared with the Smoothness of Its Modulus

Author:

Vasilyev Ioann

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Analysis

Reference18 articles.

1. Abakumov, E., El-Fallah, O., Kellay, K., Ransford, T.: Cyclicity in the harmonic Dirichlet space. In: Conference on Harmonic and Functional, Analysis, Operator Theory and Applications, Theta Foundation International Book Series of Mathematical Texts vol. 22, pp. 1–11 (2017)

2. Brennan, J.: Approximation in the mean by polynomials on non-Carathéodory domains. Ark. Mat. 15(1), 117–168 (1977)

3. Bruna, J., Ortega, J.: Closed finitely generated ideals in algebras of holomorphic functions and smooth to the boundary in strictly pseudoconvex domains. Math. Ann. 268, 137–157 (1984)

4. DeVore, R., Sharpley, R.: Maximal functions measuring smoothness. Mem. Am. Math. Soc. 47(293), 1–115 (1984)

5. Dyakonov, K.: Equivalent norms on Lipschitz-type spaces of holomorphic functions. Acta Math. 178(2), 143–167 (1997)

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