The root operator on invariant subspaces of the Bergman space
Yang, Rongwei ; Zhu, Kehe
Illinois J. Math., Tome 47 (2003) no. 4, p. 1227-1242 / Harvested from Project Euclid
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For an invariant subspace $I$ of the Bergman space we study an integral operator on $I$ defined in terms of the reproducing kernel of $I$. Such an operator will be called the root operator of $I$ and its associated integral kernel will be called the root function of $I$. We obtain fundamental spectral properties of the root operator when the invariant subspace $I$ has finite index.
Publié le : 2003-10-15
Classification:  47B32,  46E22,  47A15 
@article{1258138101,
     author = {Yang, Rongwei and Zhu, Kehe},
     title = {The root operator on invariant subspaces of the Bergman space},
     journal = {Illinois J. Math.},
     volume = {47},
     number = {4},
     year = {2003},
     pages = { 1227-1242},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138101}
}

Yang, Rongwei; Zhu, Kehe. The root operator on invariant subspaces of the Bergman space. Illinois J. Math., Tome 47 (2003) no. 4, pp.  1227-1242. http://gdmltest.u-ga.fr/item/1258138101/