Research output: Contribution to journal › Article › peer-review
We prove that if a function f is holomorphic in the polydisk 픻 n, n ≥ 2, f is continuous in D n¯ , f(z) ≠ 0, z ∈ 픻 n, and |f| belongs to the α-Hölder class, 0 < α < 1, on the boundary of 픻 n, then f belongs to the (α2−ε)-Hölder class on D n¯ for any ε > 0.
Original language | English |
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Pages (from-to) | 381-383 |
Number of pages | 3 |
Journal | Journal of Mathematical Sciences |
Volume | 234 |
Issue number | 3 |
Early online date | 29 Aug 2018 |
DOIs | |
State | Published - 2018 |
ID: 32482815