{"id":"W2163675028","doi":"10.1134/s0001434613090253","title":"Characterization of Carleson measures by the Hausdorff-Young property","year":2013,"lang":"en","type":"preprint","venue":"Mathematical Notes","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Universidad Michoacana de San Nicolás de Hidalgo; Natural Sciences and Engineering Research Council of Canada; Memorial University of Newfoundland; Consejo Nacional de Ciencia y Tecnología","keywords":"Hausdorff measure; Mathematics; Hausdorff space; Laplace transform; Characterization (materials science); Property (philosophy); Pure mathematics; Weight function; Measure (data warehouse); Hausdorff dimension; Mathematical analysis; Physics; Computer science","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001114007,0.000450215,0.001049988,0.0001030721,0.000135109,0.0001494088,0.000997129,0.0003811942,0.0007455287],"category_scores_gemma":[0.004512176,0.0002244756,0.0003383641,0.0002097505,0.0003903669,0.0001175873,0.0009160851,0.0009315509,0.0001637133],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001187676,"about_ca_system_score_gemma":0.0001120851,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008668598,"about_ca_topic_score_gemma":0.00001169809,"domain_scores_codex":[0.9963236,0.0003449447,0.001050693,0.0005230451,0.001292509,0.0004652395],"domain_scores_gemma":[0.9958355,0.001503293,0.0006322469,0.001380933,0.0005231377,0.0001249289],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001618605,0.003582441,0.0008836138,0.01720144,0.003079186,0.00001967509,0.01299256,0.0001224502,0.6707435,0.218741,0.01396604,0.05850617],"study_design_scores_gemma":[0.0003427295,0.00005591424,0.0001321344,0.0009951888,0.0004969623,0.00001427758,0.0002214072,0.02274476,0.08156358,0.8918068,0.0009486551,0.000677525],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3634499,0.0003810731,0.6255193,0.003166098,0.0001346587,0.00343966,0.0001899914,0.0002363576,0.003482992],"genre_scores_gemma":[0.9775593,0.0002025411,0.01625034,0.00004888207,0.0001530632,0.0006588644,0.0001291958,0.0001475786,0.004850192],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6730658,"threshold_uncertainty_score":0.9153848,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1001478292375857,"score_gpt":0.3476528000400763,"score_spread":0.2475049708024906,"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."}}