The Constant of Interpolation in Bloch Type Spaces
![Thumbnail](/xmlui/bitstream/handle/10234/204362/86571.pdf.jpg?sequence=4&isAllowed=y)
View/ Open
Metadata
Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadata
Title
The Constant of Interpolation in Bloch Type SpacesDate
2023-09Publisher
SpringerBibliographic citation
Miralles, A., Maletzki, M.P. The Constant of Interpolation in Bloch Type Spaces. Mediterr. J. Math. 20, 307 (2023). https://doi.org/10.1007/s00009-023-02512-0Type
info:eu-repo/semantics/articlePublisher version
https://link.springer.com/article/10.1007/s00009-023-02512-0Version
info:eu-repo/semantics/publishedVersionSubject
Abstract
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 → ∞. [-]
Is part of
Mediterranean Journal of Mathematics, 2023Funder Name
Ministerio de Ciencia e Innovación | Generalitat Valenciana
Project code
PID2019-106529GB-I00 | CIACIF/2021/479
Rights
© The Author(s) 2023
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
This item appears in the folowing collection(s)
- IMAC_Articles [122]
- MAT_Articles [765]