Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 43, 2018, 521-530

SOLID HULLS OF WEIGHTED BANACH SPACES OF ANALYTIC FUNCTIONS ON THE UNIT DISC WITH EXPONENTIAL WEIGHTS

José Bonet and Jari Taskinen

Universitat Politècnica de València, Instituto Universitario de Matemática Pura y Aplicada, IUMPA
E-46071 Valencia, Spain; jbonet 'at' mat.upv.es

University of Helsinki, Department of Mathematics and Statistics
P.O. Box 68, 00014 Helsinki, Finland; jari.taskinen 'at' helsinki.fi

Abstract. Let v(r) = exp(–a/(1 – r)^b) with a > 0 and 0 < b ≤ 2 be an exponential weight on the unit disc. We study the solid hull of its associated weighted Banach space H_v^∞(D) of all the analytic functions f on the unit disc such that v|f| is bounded.

2010 Mathematics Subject Classification: Primary 46E15; Secondary 30H99, 46B45, 46E05.

Key words: Weighted Banach spaces of analytic functions, solid hull, multipliers.

Reference to this article: J. Bonet and J. Taskinen: Solid hulls of weighted Banach spaces of analytic functions on the unit disc with exponential weights. Ann. Acad. Sci. Fenn. Math. 43 (2018), 521-530.

Full document as PDF file

https://doi.org/10.5186/aasfm.2018.4334