{"id":"W3119153104","doi":"10.1016/j.aim.2021.107580","title":"Singular integrals along lacunary directions in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.svg\"><mml:msup><mml:mrow><mml:mi mathvariant=\"double-struck\">R</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math>","year":2021,"lang":"lv","type":"article","venue":"Advances in Mathematics","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"Eusko Jaurlaritza; European Regional Development Fund; Ikerbasque, Basque Foundation for Science; Albert Ellis Institute; Division of Mathematical Sciences; National Science Foundation","keywords":"Lacunary function; Mathematics; Pure 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":[0.0007807799,0.0008247296,0.0006120524,0.0030529,0.001498856,0.004069771,0.0007857914,0.0008087114,0.03993415],"category_scores_gemma":[0.002966908,0.0004070998,0.0009288524,0.00152311,0.00150857,0.004913515,0.001419858,0.003110748,0.01040723],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001350909,"about_ca_system_score_gemma":0.0006176129,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0019012,"about_ca_topic_score_gemma":0.002229044,"domain_scores_codex":[0.9994272,0.00009149854,0.00003946985,0.0001249746,0.0002509061,0.00006599764],"domain_scores_gemma":[0.9991721,0.0002021924,0.00008897962,0.0001330654,0.0002802207,0.0001234501],"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":[0.00003860641,0.00001543522,0.0001419755,0.00006794731,0.000009386081,0.0001267269,0.0002567251,0.0006204342,0.001627383,0.9626614,0.01995903,0.01447502],"study_design_scores_gemma":[0.00001317949,0.00002012181,0.0005378362,0.00005430536,0.00001539336,0.0002909254,0.0002254057,0.009216777,0.003504161,0.9184651,0.0676278,0.00002899287],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.0552449,0.003185711,0.4036947,0.003827283,0.002733201,0.00008122807,0.001490817,0.002653839,0.5270883],"genre_scores_gemma":[0.4723985,0.003968365,0.1229346,0.001604309,0.001847774,0.0001224218,0.003082215,0.007419548,0.3866223],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.03993415,"threshold_uncertainty_score":0.1335931,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02916228563571289,"score_gpt":0.2964436225596593,"score_spread":0.2672813369239464,"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."}}