@article{oai:soar-ir.repo.nii.ac.jp:00012006,
 author = {Matsugu,  Y and Nagai,  S and Ueki,  S},
 journal = {Journal of the Faculty of Science Shinshu University},
 month = {Mar},
 note = {Let μ be a holomorphic function in the unit ball B of C^n and φ be a univalent holomorphic self-map of B. We give some sufficient conditions for μ and φ that the weighted composition operator μC_φ is bounded or compact on the Hardy spaces H^p(B) and the weighted Bergman spaces A^p(v_a) (0<p<∞,-1<α<∞). This our result is a generalization of a theorem of B. D. MacCluer and J. H. Shapiro [9] concerning the composition operator C_φ. And we also give similar sufficient conditions for such operator to be metrically bounded or metrically compact on the Privalov spaces N^p(B) (1<p<∞) and the weighted Bergman-Privalov spaces (AN)^p (v_a) (1≤p<∞, -1<α<∞)., Article, Journal of the Faculty of Science Shinshu University 40:1-26(2006)},
 pages = {1--26},
 title = {On a theorem of MacCluer and Shapiro},
 volume = {40},
 year = {2006}
}