In this work, deBranges–Rovnyak spaces, , on the unit ball of are studied. An integral representation of the functions in through the Clark measure on associated with b is given and a characterization of admissible boundary limits is given in relation with finite angular derivatives. Lastly, the interplay between Clark measures and angular derivatives is examined and it is obtained that Clark measure associated with b has an atom at a boundary point if and only if b has finite angular derivative at the same point.

中文翻译：

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ℂn 单位球的 H(b) 空间的角导数和边界值

在这项工作中，研究了单位球上的 deBranges-Rovnyak 空间， 。给出了通过与 b 相关联的克拉克测度的函数的积分表示，并给出了与有限角导数相关的可接受边界限制的特征。最后，检查了克拉克测度和角导数之间的相互作用，并得出当且仅当 b 在同一点具有有限角导数时，与 b 相关联的克拉克测度在边界点有一个原子。