Interpolating sequences for some subsets of analytic Besov type spaces
Ruishen Qian, Fangqin Ye

TL;DR
This paper characterizes interpolating sequences for certain analytic Besov spaces and their multiplier classes, providing a comprehensive description under specific parameter conditions and linking to $L^p$ and Bloch space properties.
Contribution
It offers a complete description of interpolating sequences for multipliers of analytic Besov spaces and related subspaces within specified parameter ranges.
Findings
Characterization of interpolating sequences for $M(B_p(s))$ and $F(p, p-2, s) igcap H^ ^\infty$.
Connection between these sequences and $L^p$ conditions.
Analysis of the closure of $F(p, p-2, s)$ in the Bloch space.
Abstract
Let be an analytic Besov type space. Let be the class of multipliers of and let be the M\"obius invariant subspace generated by . In this paper, when and , we give a completed description of interpolating sequences for and . We also consider certain condition appeared in this description by an characterization and the closure of in the Bloch space.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Harmonic Analysis Research · Differential Equations and Boundary Problems
