English

On interpolating sequences for Bloch type spaces

Complex Variables 2022-02-17 v2

Abstract

When we deal with HH^{\infty}, it is known that c0c_0-interpolating sequences are interpolating and it is sufficient to interpolate idempotents of \ell_\infty in order to interpolate the whole \ell_\infty. We will extend these results to the frame of interpolating sequences for Bloch type spaces Bv\mathcal{B}_{v}^\infty and study the connection between the interpolating operators on Bv\mathcal{B}_{v}^\infty and Bv0\mathcal{B}_v^0. Furthermore, for some particular weights vv, we will provide examples of interpolating sequences for Bv\mathcal{B}_{v}^\infty whose constant of separation is as close to 0 as desired.

Keywords

Cite

@article{arxiv.2110.10717,
  title  = {On interpolating sequences for Bloch type spaces},
  author = {Alejandro Miralles and Mario P. Maletzki},
  journal= {arXiv preprint arXiv:2110.10717},
  year   = {2022}
}
R2 v1 2026-06-24T07:03:11.532Z