RT info:eu-repo/semantics/article
T1 On spaces of integrable functions associated to vector measures and limiting real interpolation
A1 Fernández Carrión, Antonio
A1 Manzano Rodríguez, Antonio
K1 Extreme interpolation spaces
K1 Vector measures
K1 Lorentz-Zygmund spaces
K1 Optimal domain
K1 p-th power factorable operators
K1 Bidual (p, q)-power-concave operators
K1 Análisis matemático
K1 Mathematical analysis
AB We investigate which spaces are obtained when considering the limiting class of real interpolation spaces (0, q; J) for ordered Banach couples of spaces of (scalar) integrable functions with respect to a vector measure m, defined on a σ-algebra, with values in a Banach space. If m is in particular a finite positive scalar measure, previous known results are derived from ours. Furthermore, we study the interpolation of p-th power factorable operators by the extreme real interpolation method (1, q; K). We also deduce interpolation results for the (1, q; K)-method that apply to other related classes of operators to p-th power factorable operators, such as bidual (p, q)-power-concave operators and q-concave operators.
PB Elsevier
SN 0022-247X
YR 2024
FD 2024-12
LK http://hdl.handle.net/10259/9751
UL http://hdl.handle.net/10259/9751
LA eng
NO The second named author was supported in part by UCM Grant PR3/23-30811.
DS Repositorio Institucional de la Universidad de Burgos
RD 04-dic-2024