{"id":"W2025264381","doi":"10.4153/cjm-2009-003-1","title":"Composition operators on μ-Bloch spaces","year":2009,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Bloch space; Composition operator; Unit sphere; Bounded function; Bloch wave; Operator (biology); Ball (mathematics); Pure mathematics; Characterization (materials science); Mathematical analysis; Finite-rank operator; Banach space; Quantum mechanics","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001439588,0.0005339155,0.000463489,0.001077646,0.0009920761,0.001459328,0.000639714,0.0006139,0.003691153],"category_scores_gemma":[0.002974574,0.0002704554,0.0005059263,0.0006329794,0.002269732,0.003045431,0.002516118,0.001194877,0.0004284263],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000841995,"about_ca_system_score_gemma":0.0006798432,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004908426,"about_ca_topic_score_gemma":0.0003351759,"domain_scores_codex":[0.9988458,0.0002779041,0.00006227055,0.000196798,0.0004502311,0.0001669914],"domain_scores_gemma":[0.9986392,0.0003962718,0.0002090088,0.00009796178,0.0003719506,0.0002856768],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00008628041,0.00002813411,0.0003839007,0.00004684132,0.00001222911,0.000154903,0.0003057944,0.002509637,0.006236293,0.9820765,0.0003176367,0.00784192],"study_design_scores_gemma":[0.00005242498,0.0001236715,0.0008341792,0.00003438442,0.00002180747,0.0005138284,0.0005320771,0.07797127,0.01061877,0.9015153,0.007745819,0.00003654824],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5694107,0.000835173,0.3903714,0.0005998402,0.0002045802,0.00009931549,0.0001210078,0.0002294062,0.0381286],"genre_scores_gemma":[0.9210746,0.000457487,0.06242131,0.0001838908,0.0001456959,0.0001417531,0.0001170162,0.0000656115,0.01539262],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003691153,"threshold_uncertainty_score":0.01234818,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03331045827695744,"score_gpt":0.2770156334580207,"score_spread":0.2437051751810632,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}