{"id":"W4414355577","doi":"10.28924/2291-8639-23-2025-226","title":"On the Boundedness of Hausdorff Operators in Block Space with Variable Exponent","year":2025,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"advanced mathematical theories","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Hausdorff space; Hilbert space; Block (permutation group theory); Hausdorff distance; Variable (mathematics); Space (punctuation); Inequality; Hausdorff measure","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003920796,0.0000707999,0.0002340971,0.0002796382,0.00004111834,0.00003478138,0.0002529798,0.0000220105,0.00003864183],"category_scores_gemma":[0.000218096,0.00004084194,0.00006893492,0.0006177163,0.00009167894,0.00005811569,0.00003782746,0.0001075797,5.263836e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004050157,"about_ca_system_score_gemma":0.0000485493,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007286721,"about_ca_topic_score_gemma":0.00001897924,"domain_scores_codex":[0.9991807,0.00003312428,0.0003910935,0.0000815825,0.0002548888,0.0000585729],"domain_scores_gemma":[0.998268,0.0009194152,0.0002794897,0.0001588927,0.0003511088,0.000023075],"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":[0.00003737538,0.0001952884,0.0006105924,0.00001005675,0.0007049426,0.000001077154,0.0001226284,0.001174127,0.0002560953,0.9966401,0.00009026982,0.0001574882],"study_design_scores_gemma":[0.0003297569,0.00003146297,0.0003529047,0.0001326514,0.0003653118,0.000005946918,0.000678942,0.0005548596,0.002997076,0.9931963,0.001297091,0.00005770477],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3464872,0.00007881945,0.6446497,0.003726347,0.00003209134,0.0002039487,0.00001190154,0.00000545363,0.004804533],"genre_scores_gemma":[0.9860958,0.00003640542,0.01338352,0.000076705,0.00002210637,0.00002582907,8.284261e-7,0.000004270009,0.0003544859],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6396086,"threshold_uncertainty_score":0.1665486,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01256712080307998,"score_gpt":0.319842479100498,"score_spread":0.307275358297418,"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."}}