{"id":"W3112264950","doi":"10.1515/agms-2020-0115","title":"BMO and the John-Nirenberg Inequality on Measure Spaces","year":2020,"lang":"en","type":"preprint","venue":"Analysis and Geometry in Metric Spaces","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University; Université Laval; Concordia University","funders":"","keywords":"Mathematics; Measure (data warehouse); Bounded mean oscillation; Pure mathematics; Nirenberg and Matthaei experiment; Modulo; Bounded function; Banach space; Space (punctuation); Metric (unit); Metric space; Discrete mathematics; Mathematical analysis","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":[0.002429924,0.0004505906,0.0007754937,0.001871283,0.001320575,0.001871509,0.001009243,0.0008394216,0.002703095],"category_scores_gemma":[0.005944004,0.0002655833,0.0005833126,0.001121347,0.00364054,0.004203579,0.002849132,0.001559513,0.0002699943],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001169253,"about_ca_system_score_gemma":0.0005056066,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00109988,"about_ca_topic_score_gemma":0.0007498118,"domain_scores_codex":[0.9985757,0.0003412564,0.00007294136,0.0002638414,0.0005405537,0.0002057332],"domain_scores_gemma":[0.9978706,0.001036982,0.0003284127,0.0001820351,0.0002714708,0.0003104549],"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":[0.00001531526,0.000005849035,0.0003256109,0.00002283959,0.000006848592,0.00004720929,0.00008781367,0.001593935,0.001405253,0.9940598,0.0001885128,0.002241176],"study_design_scores_gemma":[0.000007789569,0.00004394495,0.001593125,0.00002958411,0.000009342404,0.0002367791,0.0002126011,0.03656808,0.001715789,0.9546354,0.004923754,0.0000237432],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5881332,0.003950524,0.3368297,0.00214127,0.0002336265,0.00004405989,0.0002179281,0.00008653665,0.06836312],"genre_scores_gemma":[0.9613893,0.0009377926,0.02908396,0.0001950687,0.0001849156,0.00007087285,0.0001091518,0.00003968507,0.007989313],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002703095,"threshold_uncertainty_score":0.01285076,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08760954458031846,"score_gpt":0.3835500436452214,"score_spread":0.2959404990649029,"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."}}