{"id":"W2151606538","doi":"10.4153/cmb-2009-060-6","title":"Lipschitz Type Characterizations for Bergman Spaces","year":2009,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Lipschitz continuity; Embedding; Unit disk; Type (biology); Pure mathematics; Euclidean geometry; Bergman kernel; Function (biology); Lipschitz domain; Mathematical analysis; Geometry","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.000359152,0.0001855772,0.0002984381,0.0001080959,0.000218414,0.00008715598,0.0002319226,0.0001427564,0.009126591],"category_scores_gemma":[0.001320271,0.0001662586,0.00008698055,0.000143637,0.00006490565,0.00003005185,0.00001052966,0.0001341404,0.003619438],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007249675,"about_ca_system_score_gemma":0.0001684383,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003170991,"about_ca_topic_score_gemma":0.0001738685,"domain_scores_codex":[0.9988441,0.00004387612,0.000300637,0.000226436,0.0001259463,0.0004590086],"domain_scores_gemma":[0.9986203,0.000336729,0.00005924129,0.0003480283,0.0001159117,0.0005198437],"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":[0.0000108667,0.00006291824,0.000006671563,0.0000531254,0.00001674145,0.00001175824,0.0003358578,4.179625e-7,0.0002614515,0.9365152,0.06203648,0.0006885683],"study_design_scores_gemma":[0.0003319318,0.0001518626,0.0000872333,0.00009207697,0.00005431011,0.00002652003,0.0001551315,0.0001385816,0.000326602,0.6562228,0.342083,0.000330019],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6464683,0.0001824602,0.03008689,0.1085893,0.0006035244,0.003352898,0.0003339398,0.000615959,0.2097668],"genre_scores_gemma":[0.9545958,0.000007010595,0.02215753,0.00442968,0.0003361316,0.00005636858,0.00005216691,0.00006363736,0.01830165],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3081276,"threshold_uncertainty_score":0.9971564,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03701499073761139,"score_gpt":0.2874241107725277,"score_spread":0.2504091200349163,"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."}}