Geodesic
Closed ideals in algebras of functions analytic in the~disk and smooth up to its boundary
Sbornik. Mathematics, Tome 79 (1994) no. 2, pp. 425-445

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A complete description is obtained for closed ideals in algebras of holomorphic functions $f$ on the unit disk such that $$ \bigl|f^{(n)}(\zeta_1)-f^{(n)}(\zeta_2)\bigr|=o\bigl(\omega(|\zeta_1-\zeta_2|)\bigr) \qquad (|\zeta_1-\zeta_2|\to 0). $$ Here $n$ is a nonnegative integer, and $\omega$ an arbitrary nonnegative nondecreasing subadditive function on $(0,+\infty)$. 
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     author = {F. A. Shamoyan},
     title = {Closed ideals in algebras of functions analytic in the~disk and smooth up to its boundary},
     journal = {Sbornik. Mathematics},
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     number = {2},
     year = {1994},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1994_79_2_a10/}
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F. A. Shamoyan. Closed ideals in algebras of functions analytic in the~disk and smooth up to its boundary. Sbornik. Mathematics, Tome 79 (1994) no. 2, pp. 425-445. http://geodesic.mathdoc.fr/item/SM_1994_79_2_a10/