{"id":"W4200343781","doi":"10.4153/s0008439521001041","title":"Trudinger’s inequalities for Riesz potentials in Morrey spaces of double phase functionals on half spaces","year":2021,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Riesz transform; Riesz potential; Pure mathematics; Riesz representation theorem; Inequality; Exponential function; Phase (matter); Space (punctuation); Mathematical analysis; M. Riesz extension theorem; Phase space; Linguistics","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":[0.00465998,0.0007064678,0.001037679,0.003283601,0.0009704659,0.002666587,0.001673907,0.001494545,0.00582548],"category_scores_gemma":[0.01089921,0.0003937381,0.001431652,0.0009607697,0.002903705,0.006360435,0.00409678,0.004077675,0.0004471679],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001791928,"about_ca_system_score_gemma":0.0006950701,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001515107,"about_ca_topic_score_gemma":0.0008589636,"domain_scores_codex":[0.9982641,0.0004535993,0.0001150683,0.0003226864,0.0005313126,0.0003131586],"domain_scores_gemma":[0.9947283,0.002635993,0.000425644,0.0003379976,0.001331217,0.0005409388],"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":[0.00002575523,0.00001513792,0.0003163056,0.00005959664,0.00001607051,0.0001221023,0.0001504775,0.001372392,0.002404619,0.9915689,0.0005123405,0.003436414],"study_design_scores_gemma":[0.00001408963,0.00004649925,0.001280144,0.00004670667,0.00001920289,0.0003844459,0.0002294976,0.05721956,0.002272254,0.935914,0.002538964,0.00003467627],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3027417,0.003258852,0.6129084,0.00545252,0.0003805349,0.00009238756,0.0004257186,0.0001795291,0.07456039],"genre_scores_gemma":[0.9511254,0.001170121,0.03346699,0.0005750087,0.000357471,0.00009041541,0.0002110345,0.00009722246,0.0129064],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00582548,"threshold_uncertainty_score":0.02464461,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1405711799835314,"score_gpt":0.3988234784601383,"score_spread":0.258252298476607,"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."}}