{"id":"W144351660","doi":"10.4134/jkms.2006.43.2.259","title":"NOTE ON COMMUTING TOEPLITZ OPERATORS ON THE PLURIHARMONIC BERGMAN SPACE","year":2006,"lang":"en","type":"article","venue":"Journal of the Korean Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Toeplitz matrix; Bergman space; Holomorphic function; Mathematics; Characterization (materials science); Pure mathematics; Space (punctuation); Bergman kernel; Algebra over a field; Mathematical analysis; Computer science; Bounded function","routes":{"ca_aff":true,"ca_fund":false,"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":[0.0006586598,0.0008496816,0.0004992711,0.001290476,0.001134601,0.001247484,0.0004742291,0.0005577777,0.008638361],"category_scores_gemma":[0.0008588859,0.0001500357,0.0005939597,0.0009358119,0.001839303,0.002332171,0.0009853175,0.001181513,0.0007717711],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003477204,"about_ca_system_score_gemma":0.0003732937,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005370966,"about_ca_topic_score_gemma":0.0005192537,"domain_scores_codex":[0.9995419,0.00008069501,0.00003721581,0.0001066267,0.000153653,0.00007999704],"domain_scores_gemma":[0.9992985,0.0001482387,0.0001503096,0.00006199886,0.0001669481,0.0001741058],"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":[0.00002701138,0.00003005241,0.000394607,0.00006699997,0.000007876129,0.0003140964,0.0004530834,0.0007589163,0.007117824,0.9835792,0.0006537428,0.006596558],"study_design_scores_gemma":[0.00001549343,0.0001307003,0.0008791628,0.00002145433,0.00001344832,0.0007434413,0.000337769,0.01119472,0.004722503,0.9747218,0.007173745,0.00004571278],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.547284,0.001348319,0.3614289,0.0009009467,0.0006129742,0.0001026361,0.0003101428,0.0002455372,0.08776651],"genre_scores_gemma":[0.9288641,0.001121457,0.04068238,0.000262665,0.0003229959,0.00009843889,0.0001915033,0.000112573,0.02834381],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008638361,"threshold_uncertainty_score":0.02889818,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02849314349530552,"score_gpt":0.2820291361682407,"score_spread":0.2535359926729352,"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."}}