{"id":"W4386515533","doi":"10.1007/s11118-023-10100-w","title":"Necessary cancellation conditions for the boundedness of operators on local Hardy spaces","year":2023,"lang":"en","type":"article","venue":"Potential Analysis","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"Concordia University","funders":"Conselho Nacional de Desenvolvimento Científico e Tecnológico; Natural Sciences and Engineering Research Council of Canada; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior; Fundação de Amparo à Pesquisa do Estado de São Paulo; Centre de Recherches Mathématiques","keywords":"Mathematics; Work (physics); Operator theory; Hardy space; Functional analysis; Pure mathematics; Linear operators; Mathematical analysis; Discrete mathematics; Bounded function; Physics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.006839093,0.001838453,0.001943496,0.003212529,0.002775374,0.005072827,0.003946194,0.003734511,0.01196234],"category_scores_gemma":[0.03583622,0.001483532,0.002471855,0.0009974146,0.00478171,0.008099831,0.006809108,0.00734632,0.001693646],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001625109,"about_ca_system_score_gemma":0.002689346,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001209995,"about_ca_topic_score_gemma":0.0009973348,"domain_scores_codex":[0.995496,0.001205596,0.0003941868,0.000507781,0.001699419,0.0006969271],"domain_scores_gemma":[0.9719558,0.01718047,0.00187328,0.001523644,0.004588387,0.002878386],"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":[0.000354197,0.0001384114,0.001320064,0.0003020728,0.0000482846,0.0006870631,0.0006717284,0.002967532,0.01968944,0.9657571,0.003132857,0.004931224],"study_design_scores_gemma":[0.0001682232,0.00009505959,0.001424868,0.00007496497,0.00004349066,0.0005340714,0.0004300108,0.03801174,0.008430987,0.9467294,0.003953833,0.000103517],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3374037,0.002558839,0.540574,0.005946813,0.001429029,0.0003295397,0.001427189,0.0008883426,0.1094425],"genre_scores_gemma":[0.9160311,0.00126048,0.05473718,0.001235784,0.001267003,0.0005708717,0.001737429,0.0006453958,0.02251479],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01196234,"threshold_uncertainty_score":0.04001796,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06547974216261598,"score_gpt":0.3975511109475331,"score_spread":0.3320713687849171,"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."}}