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{bwmeta1.element.bwnjournal-article-smv111i3p283bwm, author = {Ming Fan}, title = {Complex interpolation functors with a family of quasi-power function parameters}, journal = {Studia Mathematica}, volume = {108}, year = {1994}, pages = {283-305}, zbl = {0805.46075}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv111i3p283bwm} }
Fan, Ming. Complex interpolation functors with a family of quasi-power function parameters. Studia Mathematica, Tome 108 (1994) pp. 283-305. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv111i3p283bwm/
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