Complex interpolation functors with a family of quasi-power function parameters
Studia Mathematica, Tome 111 (1994) no. 3, pp. 283-305
For the complex interpolation functors associated with derivatives of analytic functions, the Calderón fundamental inequality is formulated in both additive and multiplicative forms; discretization, reiteration, the Calderón-Lozanovskiĭ construction for Banach lattices, and the Aronszajn-Gagliardo construction concerning minimality and maximality are presented. These more general complex interpolation functors are closely connected with the real and other interpolation functors via function parameters which are quasi-powers with a logarithmic factor.
@article{10_4064_sm_111_3_283_305,
author = {Ming Fan},
title = {Complex interpolation functors with a family of quasi-power function parameters},
journal = {Studia Mathematica},
pages = {283--305},
year = {1994},
volume = {111},
number = {3},
doi = {10.4064/sm-111-3-283-305},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-111-3-283-305/}
}
TY - JOUR AU - Ming Fan TI - Complex interpolation functors with a family of quasi-power function parameters JO - Studia Mathematica PY - 1994 SP - 283 EP - 305 VL - 111 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-111-3-283-305/ DO - 10.4064/sm-111-3-283-305 LA - en ID - 10_4064_sm_111_3_283_305 ER -
Ming Fan. Complex interpolation functors with a family of quasi-power function parameters. Studia Mathematica, Tome 111 (1994) no. 3, pp. 283-305. doi: 10.4064/sm-111-3-283-305
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