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A note on interpolation in the Hardy spaces of the unit disc

Author(s): Joaquim Bruna; Artur Nicolau; Knut Øyma
Journal: Proc. Amer. Math. Soc. 124 (1996), 1197-1204.
MSC (1991): Primary 30D55, 30D50; Secondary 46J15
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Abstract: In this note we formulate and solve a natural interpolation problem for the Hardy spaces in the unit disc in terms of maximal functions and weighted summable sequences.

References:

1.: U. Cegrell, A generalization of the corona theorem in the unit disc, Math. Z. 203 (1990). MR 91h:30059
2.: V. Kabaila, Interpolation sequences for the classes in the case , Litovsk. Mat. Sb. 3 (1963), no. 1, 141--147. MR 32:217
3.: H. S. Shapiro and A. L. Shields, On some interpolation problems for analytic functions, Amer. J. Math. 83 (1961), 513--532. MR 24:A3280
4.: V. I. Vasyunin, Characterization of finite unions of Carleson sets in terms of solvability of interpolation problems , Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 135 (1984), 31--35. MR 85c:30037


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