Geodesic
A Note on Blaschke Products with Zeroes in a Nontangential Region
Canadian mathematical bulletin, Tome 32 (1989) no. 1, pp. 18-23

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We show that if B is α Blaschke product with nontangential zero set {zk } and 0 < p < 1, 1/2 < αp < 1, then the condition sup0<r<1(l — r) Mp (r, D 1+α B) < ∞ is equivalent to the condition {(1 - |zk |(1/p)-α K α} ∊ l ∞.
DOI : 10.4153/CMB-1989-003-4
Mots-clés : 30D50 
Jevtić, Miroljub. A Note on Blaschke Products with Zeroes in a Nontangential Region. Canadian mathematical bulletin, Tome 32 (1989) no. 1, pp. 18-23. doi: 10.4153/CMB-1989-003-4
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-003-4/}
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[1] 1. Ahern, P., Clark, D., On inner functions with Hp derivative, Michigan Math. J. 21 (1974), pp. 115–127. Google Scholar

[2] 2. Ahern, P., M. Jevtić, Mean Modulus and the Fractional Derivative of an Inner Function, Complex Variables 3 (1984), pp. 431–445. Google Scholar

[3] 3. Duren, P., Theory of Hp spaces, Academic Press, New York, 1970. Google Scholar

[4] 4. Flett, T., The dual of an inequality of Hardy and Littlewood and some related inequalities, J. Math. Analysis and Appl. 38 (1972), pp. 746–765. Google Scholar

[5] 5. Kim, H., Derivatives of Blaschke products, Pacific J. Math. 114 (1984), pp. 175–190. Google Scholar

[6] 6. Verbitski, J., On Taylor coefficients and LP -continuity moduli of Blaschke products, LOMI, Leningrad Seminar Notes 107 (1982), pp. 27–35. Google Scholar

[7] 7. Verbitski, J., Inner functions, Besov spaces and multipliers, DAN SSSR, 276 (1984), No. 1, pp. 11–14. Soviet Math. Doklady, Vol. 29, No. 3 (1984), AMS translation. Google Scholar

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