{"id":"W2052559921","doi":"10.4153/cmb-2011-022-0","title":"Mixed Norm Type Hardy Inequalities","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Inequality; Norm (philosophy); Pure mathematics; Type (biology); Mathematical analysis; Epistemology","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":[0.0007192321,0.0002449574,0.0004641811,0.0002556882,0.0001593391,0.00004291724,0.000498208,0.0001533273,0.09861191],"category_scores_gemma":[0.002360712,0.0002171565,0.000137685,0.0003216888,0.0002053778,0.00004800604,0.00008448168,0.0003338753,0.02871997],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002537555,"about_ca_system_score_gemma":0.0003047745,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001331272,"about_ca_topic_score_gemma":0.002647663,"domain_scores_codex":[0.9978119,0.0001262189,0.0005116792,0.0003320244,0.0004104369,0.0008077902],"domain_scores_gemma":[0.9976326,0.0005054849,0.00008930112,0.000688949,0.0002325087,0.000851178],"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":[0.00001919298,0.00009307269,0.00007811961,0.0001743387,0.000100798,0.000123689,0.001381416,2.597297e-7,0.00003178835,0.9319397,0.0651627,0.0008949845],"study_design_scores_gemma":[0.0002902762,0.00007523603,0.00009452748,0.00008094248,0.00007094775,0.00003053314,0.001381089,0.0001979996,0.0007139624,0.9057621,0.09088165,0.0004207702],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1576031,0.0002897598,0.04553242,0.004795691,0.0002979001,0.001239022,0.00008887366,0.000458482,0.7896947],"genre_scores_gemma":[0.9100314,0.00001658597,0.05581922,0.0005043104,0.0001062388,0.00006389601,0.00001282275,0.00009948369,0.03334602],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7563487,"threshold_uncertainty_score":0.9720363,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2388963982793409,"score_gpt":0.3303053430277732,"score_spread":0.09140894474843228,"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."}}