{"id":"W2294084141","doi":"10.4153/cmb-2017-033-9","title":"Weak Factorizations of the Hardy Space <i>H</i><sup>1</sup>(ℝ<sup><i>n</i></sup>) in Terms of Multilinear Riesz Transforms","year":2017,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Macquarie University; National Science Foundation","keywords":"Multilinear map; Mathematics; Hardy space; Space (punctuation); Constructive; Constructive proof; Characterization (materials science); Riesz transform; Pure mathematics; Combinatorics; Discrete mathematics; Algebra over a field; Physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001849038,0.0006960303,0.000526155,0.001280132,0.000735712,0.001678344,0.0005559413,0.0004396591,0.007202995],"category_scores_gemma":[0.002970581,0.0003167475,0.0008160453,0.000400059,0.002545733,0.003061025,0.00245912,0.002138419,0.0007205087],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007266011,"about_ca_system_score_gemma":0.0005714635,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005129581,"about_ca_topic_score_gemma":0.00043799,"domain_scores_codex":[0.9992185,0.0001738088,0.00005370623,0.0001814604,0.0002662598,0.0001062594],"domain_scores_gemma":[0.9983584,0.0004786314,0.0002563941,0.000127394,0.0004573876,0.0003217562],"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":[0.00002899665,0.00001431097,0.0001952625,0.00003513149,0.000006491561,0.00008771803,0.0002128122,0.0006251584,0.003644481,0.9911435,0.000507452,0.003498803],"study_design_scores_gemma":[0.0000137754,0.00006578559,0.0005278537,0.00002268668,0.000009214153,0.0002147332,0.0002033496,0.01536299,0.003127324,0.9758095,0.004619988,0.00002264157],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2151892,0.000984109,0.7379316,0.001285716,0.0004562123,0.0000763455,0.0002441523,0.0001703418,0.04366238],"genre_scores_gemma":[0.8657854,0.0007929734,0.1102493,0.000485132,0.0005283687,0.0001418467,0.0001874669,0.0001552518,0.02167433],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007202995,"threshold_uncertainty_score":0.02409637,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03916218486796228,"score_gpt":0.312514279756313,"score_spread":0.2733520948883507,"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."}}