{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002907944,0.001273741,0.0008024219,0.002313796,0.0007092195,0.001962459,0.001623931,0.001425696,0.005247136],"category_scores_gemma":[0.006686802,0.0004159188,0.001293764,0.00121744,0.001684385,0.004054253,0.002049221,0.004234834,0.0006052944],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001549145,"about_ca_system_score_gemma":0.0006484122,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001179489,"about_ca_topic_score_gemma":0.001141685,"domain_scores_codex":[0.9986658,0.0004927329,0.00007053641,0.0002572425,0.0003347334,0.0001789916],"domain_scores_gemma":[0.9971514,0.001217761,0.0004331266,0.0001750913,0.0007035202,0.0003191362],"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":[0.000130945,0.00003835517,0.0005912376,0.0002474664,0.00007103162,0.0002874285,0.0002162153,0.01094059,0.01538073,0.946808,0.002388821,0.02289909],"study_design_scores_gemma":[0.00003538202,0.0001497648,0.001713996,0.0001441371,0.00008112213,0.0005587272,0.0002149962,0.1558969,0.007299081,0.8237088,0.01009688,0.0001001246],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1157929,0.004567996,0.8291895,0.002308236,0.0007858477,0.00009204938,0.0002878109,0.0001848079,0.04679087],"genre_scores_gemma":[0.7951566,0.003594075,0.1626821,0.001380456,0.00102716,0.0002238044,0.0003553578,0.0002633092,0.03531718],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005247136,"threshold_uncertainty_score":0.01755345,"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."}}