The Constant of Interpolation in Bloch Type Spaces
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Título
The Constant of Interpolation in Bloch Type SpacesFecha de publicación
2023-09Editor
SpringerCita bibliográfica
Miralles, A., Maletzki, M.P. The Constant of Interpolation in Bloch Type Spaces. Mediterr. J. Math. 20, 307 (2023). https://doi.org/10.1007/s00009-023-02512-0Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://link.springer.com/article/10.1007/s00009-023-02512-0Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
It is known that there exists a constant 0 < Δ1 < 1 such
that any Δ1-separated sequence for the pseudohyperbolic distance in
the open unit disk D of C is interpolating for the classical Bloch space
B. We will prove ... [+]
It is known that there exists a constant 0 < Δ1 < 1 such
that any Δ1-separated sequence for the pseudohyperbolic distance in
the open unit disk D of C is interpolating for the classical Bloch space
B. We will prove that 0.8114 < Δ1 < 0.9785 and we will also generalize
this result for Bloch type spaces Bvp for vp(z) = (1−|z|
2)
p. In particular,
we will provide a construction to calculate an estimate of the lower and
upper bounds for the corresponding constant of separation Δp for these
spaces. We also prove that Δp tends to 1 when p → ∞. [-]
Publicado en
Mediterranean Journal of Mathematics, 2023Entidad financiadora
Ministerio de Ciencia e Innovación | Generalitat Valenciana
Código del proyecto o subvención
PID2019-106529GB-I00 | CIACIF/2021/479
Derechos de acceso
© The Author(s) 2023
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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