We prove that block spaces defined on ℝn{\mathbb{R}^{n}} with an arbitrary Radon measure, which are known to be the preduals of Morrey spaces, are closed under the first and the second complex interpolation method. The proof of our main theorem uses the duality theorem in the complex interpolation method, the complex interpolation of certain closed subspaces of Morrey spaces, a characterization of the preduals of block spaces, and some formulas related to the Calderón product.

中文翻译：

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Morrey 空间在测量空间上的复数插值

我们证明了在 ℝn{\mathbb{R}^{n}} 上定义的具有任意 Radon 测度的块空间，已知是 Morrey 空间的预对数，在第一种和第二种复插值方法下是封闭的。我们的主定理的证明在复插值方法中使用了对偶性定理，Morrey 空间的某些闭合子空间的复插值，块空间的预对数的表征，以及一些与 Calderón 乘积相关的公式。