{"id":"W4200485046","doi":"10.1002/mana.201900312","title":"Some Hardy identities on half‐spaces","year":2021,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Hardy space; Remainder; Inequality; Type (biology); Pure mathematics; Space (punctuation); Algebra over a field; Mathematical analysis; Arithmetic; Linguistics","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0007021134,0.0005042062,0.0008448755,0.0001368253,0.0002363714,0.0003101509,0.0005777864,0.0001908858,0.001435259],"category_scores_gemma":[0.002005769,0.0004326261,0.0003679744,0.0004672338,0.0001685583,0.0004811548,0.0002470629,0.0004835483,0.002225474],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001052234,"about_ca_system_score_gemma":0.00007984975,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003444218,"about_ca_topic_score_gemma":0.000003009683,"domain_scores_codex":[0.9968324,0.000239095,0.0006990462,0.0006060076,0.0009682053,0.0006552266],"domain_scores_gemma":[0.99608,0.001984992,0.0002988064,0.001247415,0.0001929027,0.0001958251],"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":[0.0000153459,0.000612913,0.00001153509,0.0004508922,0.0001885679,0.0001280999,0.0009900953,0.000005537082,0.003739201,0.9713358,0.02219295,0.0003290802],"study_design_scores_gemma":[0.0005004406,0.00007690324,0.00002111968,0.0002751633,0.0001355589,0.00009251163,0.0005204461,0.0001870208,0.04552664,0.9509734,0.00120417,0.0004866597],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.629578,0.001919049,0.01172537,0.00385627,0.001327779,0.00131505,0.00008180349,0.001995865,0.3482008],"genre_scores_gemma":[0.8646489,0.0001720556,0.08131159,0.001564927,0.002174481,0.0003240292,0.00003925386,0.0004672816,0.04929749],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2989033,"threshold_uncertainty_score":0.9998125,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05268660175279437,"score_gpt":0.3261503909121783,"score_spread":0.273463789159384,"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."}}