TY - JOUR

T1 - Approximation numbers of composition operators on weighted besov spaces of analytic functions

AU - Pouliasis, Stamatis

N1 - Publisher Copyright:
Copyright © The Author(s), 2022.

PY - 2022/5/28

Y1 - 2022/5/28

N2 - Li et al. [A spectral radius type formula for approximation numbers of composition operators, J. Funct. Anal. 267(12) (2014), 4753-4774] proved a spectral radius type formula for the approximation numbers of composition operators on analytic Hilbert spaces with radial weights and on Hp spaces, p ≥ 1, involving Green capacity. We prove that their formula holds for a wide class of Banach spaces of analytic functions and weights.

AB - Li et al. [A spectral radius type formula for approximation numbers of composition operators, J. Funct. Anal. 267(12) (2014), 4753-4774] proved a spectral radius type formula for the approximation numbers of composition operators on analytic Hilbert spaces with radial weights and on Hp spaces, p ≥ 1, involving Green capacity. We prove that their formula holds for a wide class of Banach spaces of analytic functions and weights.

KW - Bagby points

KW - Besov spaces

KW - approximation numbers

KW - composition operators

KW - condenser capacity

UR - http://www.scopus.com/inward/record.url?scp=85125860374&partnerID=8YFLogxK

U2 - 10.1017/S0013091522000086

DO - 10.1017/S0013091522000086

M3 - Article

AN - SCOPUS:85125860374

SN - 0013-0915

VL - 65

SP - 311

EP - 325

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

IS - 2

ER -