{"id":"W4415977136","doi":"10.1007/s11425-024-2449-5","title":"Geometrical Toeplitz operators and Carleson embeddings over smoothly bounded convex domains of finite type in ℂn","year":2025,"lang":"en","type":"article","venue":"Science China Mathematics","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Bounded function; Toeplitz matrix; Bergman space; Embedding; Class (philosophy); Regular polygon; Kernel (algebra); Bergman kernel; Type (biology)","routes":{"ca_aff":true,"ca_fund":false,"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":[0.0008520798,0.001342778,0.0008254089,0.003723691,0.001887171,0.003999529,0.001207171,0.001342343,0.005694716],"category_scores_gemma":[0.002734057,0.0006362707,0.0009426182,0.001455716,0.004360312,0.00571385,0.002609484,0.00328559,0.0004352846],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002001519,"about_ca_system_score_gemma":0.0006300242,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001654458,"about_ca_topic_score_gemma":0.001148786,"domain_scores_codex":[0.9995112,0.0001155129,0.00002573433,0.0001139897,0.00013746,0.00009599644],"domain_scores_gemma":[0.9984916,0.0005214963,0.0003264076,0.0000881174,0.0002262016,0.0003461748],"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":[0.00003141863,0.00001372447,0.0001744307,0.00001805538,0.000007912057,0.0000944248,0.0002044606,0.0007778811,0.0006384714,0.9966878,0.0002318469,0.00111952],"study_design_scores_gemma":[0.00002260928,0.00003234253,0.0006715175,0.00001188529,0.00001170815,0.0001854345,0.0003064325,0.01017814,0.0004740155,0.9866537,0.001431075,0.00002099977],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7658531,0.001499658,0.1526427,0.002899793,0.0004274232,0.00005627396,0.0003899454,0.0002049957,0.07602601],"genre_scores_gemma":[0.9688468,0.0005984996,0.0111035,0.0001801086,0.0002439013,0.00004105877,0.0002127743,0.00006156942,0.01871179],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005694716,"threshold_uncertainty_score":0.01905072,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01944511469552232,"score_gpt":0.325931697793471,"score_spread":0.3064865830979486,"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."}}