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May 8 at 19:24 comment added Liding Yao I don't think such condition exist other than return to the holomorphic functions essentially. Whenever condition 2 is satisfied we call $(X,Y)\to Z_\theta$ an interpolation function with exact type $\theta$. Real interpolations can also be such example if you choose parameters carefully.
S May 8 at 16:58 review First questions
May 8 at 17:43
S May 8 at 16:58 history asked mejopa CC BY-SA 4.0