R-范数的复插值、对偶性与叶状结构
Complex interpolation of $\mathbb{R}$-norms, duality and foliations
AI总结：
本文将Calderón等人的复插值方法与Alexander-Wermer-Slodkowski定理推广到实Banach空间和凸函数的插值，利用Legendre变换揭示对偶性，并给出齐次复Monge-Ampère方程解的新性质。
摘要：
一方面，追溯到Calderón和Coifman等人的复插值方法，另一方面，关于具有凸纤维的多项式凸包的Alexander-Wermer-Slodkowski定理，被推广为一种对实（有限维）Banach空间和凸函数进行插值的方法。该方法中潜在的对偶性由Legendre变换给出。我们的结果也可以解释为齐次复Monge-Ampère方程解的新性质。
英文摘要：
The complex method of interpolation, going back to Calderón and Coifman et al., on the one hand, and the Alexander-Wermer-Slodkowski theorem on polynomial hulls with convex fibers, on the other hand, are generalized to a method of interpolation of real (finite-dimensional) Banach spaces and of convex functions. The underlying duality in this method is given by the Legendre transform. Our results can also be interpreted as new properties of solutions of the homogeneous complex Monge-Ampère equation.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
