On interpolating sequences for Bloch type spaces
Alejandro Miralles, Mario P. Maletzki

TL;DR
This paper extends the theory of interpolating sequences from $H^{ olinebreak ext{infty}}$ to Bloch type spaces, analyzing their properties and providing examples with arbitrarily small separation constants.
Contribution
It generalizes known interpolation results to Bloch type spaces and explores the relationship between different classes of interpolating operators.
Findings
Interpolation results extend from $H^{ olinebreak ext{infty}}$ to Bloch type spaces.
Examples of interpolating sequences with arbitrarily small separation constants.
Connections established between interpolating operators on different Bloch spaces.
Abstract
When we deal with , it is known that interpolating sequences are interpolating and it is sufficient to interpolate idempotents of in order to interpolate the whole . We will extend these results to the frame of interpolating sequences for Bloch type spaces and study the connection between the interpolating operators on and . Furthermore, for some particular weights , we will provide examples of interpolating sequences for whose constant of separation is as close to 0 as desired.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Harmonic Analysis Research · Algebraic and Geometric Analysis
