{"id":"W4319661810","doi":"10.1007/s40306-022-00494-x","title":"Hardy-Sobolev Inequalities with Dunkl Weights","year":2023,"lang":"en","type":"article","venue":"Acta Mathematica Vietnamica","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Sobolev space; Mathematics; Inequality; Sobolev inequality; Type (biology); Pure mathematics; Mathematical analysis; Geology","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00261486,0.001821915,0.000906159,0.003681911,0.001202258,0.003737547,0.001417359,0.001454148,0.007886928],"category_scores_gemma":[0.007920665,0.0004275287,0.001114584,0.002228007,0.002062945,0.005720204,0.003841775,0.004158309,0.0009360317],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001982051,"about_ca_system_score_gemma":0.0009367794,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002976518,"about_ca_topic_score_gemma":0.001980206,"domain_scores_codex":[0.9988964,0.0005077987,0.00007295901,0.0001657229,0.000207701,0.0001494153],"domain_scores_gemma":[0.9963132,0.00180538,0.000333006,0.0002208047,0.0007688132,0.0005588285],"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":[0.00006458277,0.000029577,0.0003790225,0.0001355213,0.0000423591,0.0001565659,0.0001864892,0.001976595,0.001338999,0.9835365,0.001976284,0.01017754],"study_design_scores_gemma":[0.00001378065,0.00002386474,0.0005408274,0.00003099563,0.00002545814,0.000143672,0.0001287282,0.02288993,0.0006498516,0.9695588,0.00597467,0.00001946781],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1503698,0.01544128,0.6408598,0.01115184,0.003516328,0.00007766658,0.0009079758,0.0002520971,0.1774233],"genre_scores_gemma":[0.8204704,0.007619669,0.06066119,0.001268881,0.002005788,0.0001778316,0.0005417632,0.0003208491,0.1069337],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007886928,"threshold_uncertainty_score":0.02638435,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0716396499447748,"score_gpt":0.3387577029038584,"score_spread":0.2671180529590836,"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."}}