{"id":"W2350283620","doi":"","title":"Boundedness of the Higher Order Commutators on the Homogeneous Morrey-Herz Space","year":2007,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Science North","funders":"","keywords":"Mathematics; Sublinear function; Homogeneous; Order (exchange); Pure mathematics; Space (punctuation); Hardy space; Mathematical analysis; Commutator; Algebra over a field; Combinatorics","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":[],"consensus_categories":[],"category_scores_codex":[0.001657433,0.0002749715,0.0004778748,0.0001267301,0.000207833,0.00002668128,0.001121375,0.0001039363,0.0002715708],"category_scores_gemma":[0.001587608,0.0001507376,0.000163013,0.001250206,0.0005963348,0.0001403964,0.0002633494,0.0005497645,0.00003451673],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001767278,"about_ca_system_score_gemma":0.00006735641,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008505374,"about_ca_topic_score_gemma":0.0001963382,"domain_scores_codex":[0.9973557,0.0001576798,0.0007388953,0.0002579985,0.0009587987,0.0005309576],"domain_scores_gemma":[0.9935037,0.004355246,0.0004665628,0.001411071,0.0002026993,0.00006073214],"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":[0.00004261358,0.0007427213,0.0009844415,0.0003764916,0.00009175025,0.00002362971,0.002577314,0.001596743,0.0003085147,0.9894227,0.0004107771,0.003422251],"study_design_scores_gemma":[0.0004065236,0.0000466559,0.0002595806,0.0002942147,0.00005640776,0.00001448826,0.003144523,0.001481618,0.006285121,0.9786662,0.009076757,0.0002679481],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.682257,0.003950055,0.1888933,0.003843502,0.001059469,0.002989163,0.00003380341,0.0002057361,0.116768],"genre_scores_gemma":[0.954608,0.000299113,0.04069938,0.0001562299,0.0000645623,0.00004228988,0.000001128249,0.00008376513,0.004045538],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.272351,"threshold_uncertainty_score":0.6146903,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04661799956785136,"score_gpt":0.3755515238934237,"score_spread":0.3289335243255724,"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."}}