Some Lemmas on Interpolating Blaschke Products and a Correction
Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 531-534
Voir la notice de l'article provenant de la source Cambridge University Press
A Blaschke product on the unit disc, where |c|= 1 and kis a non-negative integer, is said to be interpolatingif thecondition C is satisfied for a constant δ independent of m.A Blaschke product always belongs to the set I of inner functions; it has norm 1 and radial limits of modulus 1 almost everywhere. The most general inner function can be uniquely factored into a product BS,where Bis a Blaschke product and for some positive singular measure μ(θ) on the unit circle. The discussion will be carried out in terms of the hyperbolic geometry on the open unit disc D,its metric and its neighbourhoods N(x, ∈) = {z′ ∈ D: Ψ(z, z′) < ∈ }
Kerr-Lawson, A. Some Lemmas on Interpolating Blaschke Products and a Correction. Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 531-534. doi: 10.4153/CJM-1969-060-2
@article{10_4153_CJM_1969_060_2,
author = {Kerr-Lawson, A.},
title = {Some {Lemmas} on {Interpolating} {Blaschke} {Products} and a {Correction}},
journal = {Canadian journal of mathematics},
pages = {531--534},
year = {1969},
volume = {21},
number = {1},
doi = {10.4153/CJM-1969-060-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1969-060-2/}
}
TY - JOUR AU - Kerr-Lawson, A. TI - Some Lemmas on Interpolating Blaschke Products and a Correction JO - Canadian journal of mathematics PY - 1969 SP - 531 EP - 534 VL - 21 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1969-060-2/ DO - 10.4153/CJM-1969-060-2 ID - 10_4153_CJM_1969_060_2 ER -
[1] 1. Hoffman, K., Banach spaces of analytic functions (Prentice-Hall, Englewood Cliffs, N.J., 1962). Google Scholar
[2] 2. Kerr-Lawson, A., A filter description of the homomorphisms of H00, Can. J. Math. 17 (1965), 734–757. Google Scholar
[3] 3. Nehari, Z., Conformai mapping (McGraw-Hill, New York, 1952). Google Scholar
Cité par Sources :