{"id":"W2037453142","doi":"10.5539/mas.v3n4p142","title":"Extended Cesaro Operator from to Bloch Space","year":2009,"lang":"en","type":"article","venue":"Modern Applied Science","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Holomorphic function; Unit sphere; Bloch space; Compact space; Mathematics; Operator (biology); Ball (mathematics); Pure mathematics; Mathematical analysis; Space (punctuation); Unit (ring theory); Computer science","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":[0.0007333029,0.0001928766,0.00024713,0.0001000037,0.0003404371,0.000161664,0.0008531472,0.00006782443,0.0001524446],"category_scores_gemma":[0.0001378067,0.000162779,0.00003354759,0.0005396618,0.0002208992,0.0001349287,0.0001267226,0.0001629274,0.0003949508],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000818694,"about_ca_system_score_gemma":0.0001591728,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008526674,"about_ca_topic_score_gemma":0.000005288477,"domain_scores_codex":[0.9980306,0.00002037873,0.0002171652,0.0006290575,0.0006113946,0.000491428],"domain_scores_gemma":[0.998761,0.00007979614,0.00004548896,0.0007046431,0.00007868129,0.0003303901],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000283866,0.0001027101,0.000008383393,0.000002026147,0.000002989515,0.000007776915,0.002423533,0.00001921381,0.7953113,0.1925379,0.0008866303,0.008669118],"study_design_scores_gemma":[0.0005416668,0.00008442902,0.001015306,0.00002438398,0.00001782757,0.000004764602,0.0004284955,0.007632332,0.2751532,0.7133737,0.001201688,0.0005221493],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.843124,0.00002992683,0.118336,0.0008558576,0.0001153094,0.0004254662,0.00001392955,0.0001911865,0.03690835],"genre_scores_gemma":[0.9609981,0.000001428842,0.03629455,0.001929741,0.00009391368,0.00002050386,0.000001055575,0.00001539617,0.0006453411],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5208358,"threshold_uncertainty_score":0.6637936,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02882640136356039,"score_gpt":0.3033517925946764,"score_spread":0.274525391231116,"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."}}