{"id":"W130781751","doi":"","title":"Some Characterizations of Harmonic Bergman Spaces in the Unit Ball.","year":2008,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Unit sphere; Ball (mathematics); Bergman kernel; Bergman space; Pure mathematics; Mathematical analysis; Bounded function","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":[],"consensus_categories":[],"category_scores_codex":[0.0003834717,0.0001091358,0.000201033,0.0000692195,0.0001163504,0.00001211952,0.0003252161,0.00006887936,0.00006732623],"category_scores_gemma":[0.000151768,0.00008148464,0.00004808261,0.0002761995,0.0001292443,0.0001319308,0.00004290366,0.0001693279,0.00003443786],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001577934,"about_ca_system_score_gemma":0.00005928239,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001718711,"about_ca_topic_score_gemma":0.000005681106,"domain_scores_codex":[0.9990848,0.0001736722,0.0002548267,0.0001199774,0.0001963289,0.0001703863],"domain_scores_gemma":[0.9991623,0.0002949341,0.00009668022,0.0003587551,0.00005342967,0.00003388881],"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":[0.000007513281,0.0002252109,0.006808859,0.00001796553,0.0000146147,0.0000212553,0.003123224,4.329298e-7,0.0007556517,0.988237,0.0007698843,0.00001845165],"study_design_scores_gemma":[0.0008982129,0.00007769837,0.02809011,0.00004059486,0.00002203039,0.00002243479,0.0006340477,0.00002939836,0.002207684,0.9665608,0.001262402,0.000154532],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9974627,0.0001057656,0.000004554975,0.0004354868,0.0002985127,0.0001919975,0.000007746432,0.0000291598,0.001464055],"genre_scores_gemma":[0.9992526,0.000111605,0.00008000207,0.0001446318,0.00001314548,0.00002045286,0.000008499736,0.00001711303,0.0003519546],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02167608,"threshold_uncertainty_score":0.3322847,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04876669867102003,"score_gpt":0.2785796697825871,"score_spread":0.2298129711115671,"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."}}