Interpolation in Hp spaces over the right half-plane

Elias Zikkos

doi:10.1007/s10998-017-0206-z

Interpolation in H^p spaces over the right half-plane

Elias Zikkos

Preparatory Program

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Abstract

For a certain class of sequences with multiple terms {λ1,λ1,…,λ1⏟μ1-times,λ2,λ2,…,λ2⏟μ2-times,…} in the right half-plane C₊, and a doubly-indexed sequence {dn,k:n∈N,k=0,1,…,μn-1} of complex numbers satisfying certain growth conditions, we consider an interpolation problem f(k)(λn)=dn,kn∈N,k=0,1,…,μn-1,where f is a bounded analytic function in C₊, belonging to the Hardy spaces H¹(C₊) and H²(C₊).

Original language	British English
Pages (from-to)	368-375
Number of pages	8
Journal	Periodica Mathematica Hungarica
Volume	75
Issue number	2
DOIs	https://doi.org/10.1007/s10998-017-0206-z
State	Published - 1 Dec 2017

Keywords

Hardy spaces in a half-plane
Interpolating sequences

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Cite this

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abstract = "For a certain class of sequences with multiple terms \{λ1,λ1,…,λ1⏟μ1-times,λ2,λ2,…,λ2⏟μ2-times,…\} in the right half-plane C+, and a doubly-indexed sequence \{dn,k:n∈N,k=0,1,…,μn-1\} of complex numbers satisfying certain growth conditions, we consider an interpolation problem f(k)(λn)=dn,kn∈N,k=0,1,…,μn-1,where f is a bounded analytic function in C+, belonging to the Hardy spaces H1(C+) and H2(C+).",

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