{"id":"W4299580075","doi":"10.48550/arxiv.1408.4499","title":"Extrapolation and weighted norm inequalities in the variable Lebesgue\\n spaces","year":2014,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Trinity College","funders":"National Science Foundation","keywords":"Extrapolation; Mathematics; Lp space; Diagonal; Lebesgue integration; Bounded function; Mathematical proof; Pure mathematics; Norm (philosophy); Banach space; Mathematical analysis; Discrete mathematics","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":[0.002946014,0.0007466421,0.0005121161,0.001853051,0.0008047474,0.001262356,0.001260892,0.0006039756,0.002692212],"category_scores_gemma":[0.007105634,0.0001974795,0.0009750535,0.001061433,0.002398579,0.004546871,0.003286725,0.002799251,0.0002862721],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001028504,"about_ca_system_score_gemma":0.0004161244,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007840449,"about_ca_topic_score_gemma":0.0006259027,"domain_scores_codex":[0.9987484,0.0004926444,0.00006056016,0.0001791823,0.0004013012,0.0001177314],"domain_scores_gemma":[0.9964155,0.002211086,0.000325491,0.0002608641,0.0005232178,0.0002638469],"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":[0.0000612321,0.00002001658,0.0006526947,0.000123297,0.00002936878,0.0002010086,0.0002375173,0.008259263,0.002951533,0.9749357,0.0007876283,0.01174071],"study_design_scores_gemma":[0.000008340868,0.00006986001,0.00104202,0.0000541175,0.00001734038,0.0002034515,0.0001225303,0.08331819,0.001681109,0.9094536,0.004010707,0.00001870217],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.21372,0.004197551,0.7206848,0.002159895,0.0002560228,0.00004115896,0.0002783291,0.0001436831,0.0585185],"genre_scores_gemma":[0.9059359,0.003247873,0.07584542,0.0006288686,0.0004650716,0.0001418338,0.0003958388,0.0001082402,0.01323095],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002946014,"threshold_uncertainty_score":0.01558024,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1725952612744002,"score_gpt":0.2648867025891967,"score_spread":0.09229144131479655,"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."}}