{"id":"W2049314975","doi":"10.4153/cmb-2010-029-9","title":"Several Hardy Type Inequalities with Weights Related to Generalized Greiner Operator","year":2009,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Science Basic Research Program of Shaanxi Province; Northwestern Polytechnical University; National Natural Science Foundation of China; Northwestern University","keywords":"Mathematics; Operator (biology); Type (biology); Inequality; Hardy space; Pure mathematics; Mathematical analysis","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":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0005088923,0.0003412608,0.0006337986,0.0003283759,0.00021232,0.0001149875,0.0004346868,0.00016505,0.02447265],"category_scores_gemma":[0.001145188,0.0002549906,0.0001057966,0.0006279069,0.00009762852,0.00006347257,0.00004119964,0.0003707331,0.009196192],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003663829,"about_ca_system_score_gemma":0.0004025374,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003186184,"about_ca_topic_score_gemma":0.0007046238,"domain_scores_codex":[0.9973158,0.0001656488,0.0005785323,0.0004620097,0.0005778233,0.0009001681],"domain_scores_gemma":[0.997377,0.0002720283,0.00007342187,0.0006899229,0.0003307283,0.001256902],"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":[0.00009256716,0.0001045842,0.00002523882,0.00007455689,0.0001537572,0.0003066383,0.001150197,0.00008347105,0.0002109716,0.920308,0.07709885,0.0003911672],"study_design_scores_gemma":[0.00181641,0.0006422396,0.0001242215,0.0003534969,0.0001654065,0.0001523048,0.0005546354,0.002583345,0.0006420047,0.7944424,0.1972278,0.001295752],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8258684,0.0002348891,0.0257491,0.05938322,0.000118737,0.002315556,0.00007851137,0.0004859158,0.08576571],"genre_scores_gemma":[0.7724608,0.00001411587,0.1250051,0.004833976,0.000133475,0.00007657642,0.00003832201,0.0001326419,0.09730501],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1258656,"threshold_uncertainty_score":0.9999902,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03758856948358276,"score_gpt":0.3202266646658896,"score_spread":0.2826380951823069,"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."}}