{"id":"W4405848186","doi":"10.23952/jnva.9.2025.2.04","title":"Singular integrals with non-standard kernels on Triebel-Lizorkin spaces","year":2024,"lang":"en","type":"article","venue":"Journal of Nonlinear and Variational Analysis","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"National Natural Science Foundation of China; Georgetown University; National Science Foundation","keywords":"Mathematics; Singular integral; Pure mathematics; Singular integral operators; Mathematical analysis; Integral equation","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002021705,0.0008896526,0.0008059393,0.002970058,0.00121903,0.002560587,0.001049147,0.001187167,0.001475431],"category_scores_gemma":[0.005282243,0.0004888438,0.001118352,0.001253851,0.003953216,0.005528059,0.003100534,0.00218753,0.0002652333],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001253046,"about_ca_system_score_gemma":0.000608844,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006800613,"about_ca_topic_score_gemma":0.0004045301,"domain_scores_codex":[0.9988307,0.0002397375,0.00008414734,0.0001907226,0.0004647512,0.000189933],"domain_scores_gemma":[0.9973971,0.0008728678,0.0005097784,0.0002472256,0.0005383216,0.0004347075],"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":[0.00004219858,0.00003403022,0.0005178358,0.00005522275,0.00002820868,0.0002935236,0.0004155776,0.003174818,0.005951391,0.9870064,0.0001558076,0.00232499],"study_design_scores_gemma":[0.00002751543,0.00009051263,0.001415059,0.0000327525,0.00003158284,0.0007330191,0.0003447427,0.09748012,0.005644755,0.8927695,0.00138941,0.00004102407],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6089932,0.001213045,0.3692113,0.0005910954,0.0001038442,0.00004801931,0.0000602285,0.0001400307,0.01963933],"genre_scores_gemma":[0.9615419,0.0006814162,0.02994549,0.00008557579,0.0001300615,0.00006944283,0.00007072925,0.0000675899,0.007407705],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002970058,"threshold_uncertainty_score":0.01069188,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0357063808419022,"score_gpt":0.3669905690609925,"score_spread":0.3312841882190903,"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."}}