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 -