RT Journal Article
T1 Pointwise multipliers between spaces of analytic functions.
A1 Girela-Álvarez, Daniel
A1 Merchán-Álvarez, Noel
K1 Funciones analíticas
K1 Multiplicadores (Análisis matemático)
AB A Banach space X of analytic function in D, the unit disc in C, is said to be admissible if it contains the polynomials and convergence in X implies uniform convergence in compact subsets of D.If X and Y are two admissible Banach spaces of analytic functions in D and g is a holomorphic function in D, g is said to be a multiplier from X to Y if g · f is in Y for every f in X. The space of all multipliers from X to Y is denoted M(X; Y ), and M(X) will stand for M(X;X).The closed graph theorem shows that if g is in M(X; Y ) then the multiplication operator Mg, defi ned by Mg(f) = g · f, is a bounded operator from X into Y.It is known that M(X) c H^inf and that if g is in M(X), then ∥g∥_H^inf <= ∥Mg∥.Clearly, this implies that M(X; Y ) c H^inf if Y c X. If Y is not contained in X, the inclusion M(X; Y ) c H^inf may not be true.In this paper we start presenting a number of conditions on the spaces X and Y which imply that the inclusion M(X; Y ) c H^inf holds. Next, we concentrate our attention on multipliers acting an BMOA and some related spaces, namely, the Qs-spaces (0 < s < 1).
PB Taylor & Francis
YR 2023
FD 2023-07-13
LK https://hdl.handle.net/10630/32244
UL https://hdl.handle.net/10630/32244
LA eng
NO Girela, D., & Merchán, N. (2023). Pointwise multipliers between spaces of analytic functions. Quaestiones Mathematicae, 47(2), 249–262.
NO Política de acceso abierto tomada: https://v2.sherpa.ac.uk/id/publication/305
NO "El Ministerio de Economía y Competitividad", España (PGC2018-096166-B-I00) y ayudas de "la Junta de Andalucía (FQM-210 y UMA18-FEDERJA-002).
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 19 ene 2026