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Recursive interpolating sequences
Open Mathematics, 2018 This paper is devoted to pose several interpolation problems on the open unit disk 𝔻 of the complex plane in a recursive and linear way. We look for interpolating sequences (zn) in 𝔻 so that given a bounded sequence (an) and a suitable sequence (wn ...
Tugores Francesc
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Random interpolating sequences in Dirichlet spaces [PDF]
International Mathematics Research Notices, 2019 We discuss random interpolating sequences in weighted Dirichlet spaces ${{\mathcal{D}}}_\alpha $, $0\leq \alpha \leq 1$, when the radii of the sequence points are fixed a priori and the arguments are uniformly distributed.
Nikolaos Chalmoukis +3 more
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Random Interpolating Sequences in the Polydisc and the Unit Ball [PDF]
Computational methods in Function Theory, 2022 We study almost surely separating and interpolating properties of random sequences in the polydisc and the unit ball. In the unit ball, we obtain the 0–1 Komolgorov law for a sequence to be interpolating almost surely for all the Besov–Sobolev spaces ...
Alberto Dayan +2 more
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NONTANGENTIAL INTERPOLATING SEQUENCES AND INTERPOLATION BY NORMAL FUNCTIONS [PDF]
Proceedings of the American Mathematical Society, 1971 The first part of the paper shows that a sequence of points in the unit disk of the complex plane, tending nontangentially to a point on the unit circle, is an interpolating sequence if and only if the pseudo-hyperbolic distance between any pair of points in the sequence is bounded away from zero.
K. Tse
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Interpolating sequences for analytic selfmappings of the disc [PDF]
, 2011 Schwarz's Lemma leads to a natural interpolation problem for analytic functions from the disc into itself. The corresponding interpolating sequences are geometrically described in terms of a certain hyperbolic density.
Pere Menal Ferrer +2 more
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Interpolating sequences and the Toeplitz corona theorem on the symmetrized bidisk [PDF]
Journal of operator theory, 2019 We characterize the interpolating sequences and prove a Toeplitz--Corona theorem in the setting of bounded holomorphic functions on the symmetrized bidisk.
Tirthankar Bhattacharyya, Haripada Sau
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Plane domains with harmonic interpolating sequences which are not interpolating sequences [PDF]
Kodai Mathematical Journal, 2005 Let \(D\) be a domain in the complex plane \(\mathbb C\). Let \(A\) denote either the space \(h^\infty(D)\) of all bounded harmonic functions in \(D\) or the space \(H^\infty(D)\) of all bounded holomorphic functions in \(D\). A sequence \((z_n)\) in \(D\) is called an \(A\)-interpolating sequence (say \((z_n)\in \mathcal I(A)\)), if for every bounded ...
Junichiro Narita
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Interpolating sequences for weighted Bergman spaces of the ball [PDF]
, 1995 Let $B_{\alpha}^{p}$ be the space of $f$ holomorphic in the unit ball of $\Bbb C^n$ such that $(1-|z|^2)^\alpha f(z) \in L^p$, where ...
Miroljub Jevtić +2 more
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Interpolating sequences and Carleson measures in the Hardy-Sobolev spaces of the ball in $C^n$ [PDF]
, 2015 In this work we study Hardy Sobolev spaces in the ball of $C^n$ with respect to interpolating sequences and Carleson measures. We compare them with the classical Hardy spaces of the ball and we stress analogies and differences.
Éric Amar
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Interpolating Sequences on the Bidisk [PDF]
International Journal of Mathematics, 2001 We give a characterization of interpolating sequences for bounded analytic functions on the bidisk.
J. Agler, John E. McCarthy
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