Geodesic
Blaschke products and nonideal ideals in higher order Lipschitz algebras
Algebra i analiz, Tome 21 (2009) no. 6, pp. 182-201.

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We investigate certain ideals (associated with Blaschke products) of the analytic Lipschitz algebra $A^\alpha$, with $\alpha>1$, that fail to be “ideal spaces”. The latter means that the ideals in question are not describable by any size condition on the function's modulus. In the case where $\alpha=n$ is an integer, we study this phenomenon for the algebra $H^\infty_n=\{f\colon f^{(n)}\in H^\infty\}$ rather than for its more manageable Zygmund-type version. This part is based on a new theorem concerning the canonical factorization in $H^\infty_n$.
Keywords: inner functions, Blaschke products, Lipschitz spaces, ideals. 
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K. M. Dyakonov. Blaschke products and nonideal ideals in higher order Lipschitz algebras. Algebra i analiz, Tome 21 (2009) no. 6, pp. 182-201. http://geodesic.mathdoc.fr/item/AA_2009_21_6_a5/

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