{"paper":{"title":"Bergman-Toeplitz operators on fat Hartogs triangles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.CV","authors_text":"Jiakun Liu, Phung Trong Thuc, Tran Vu Khanh","submitted_at":"2018-02-26T06:09:08Z","abstract_excerpt":"In this paper, we obtain some $L^{p}$ mapping properties of the Bergman-Toeplitz operator \\[ f\\longrightarrow T_{K^{-\\alpha}}\\left(f\\right):=\\intop_{\\Omega}K_{\\Omega}\\left(\\cdot,w\\right)K^{-\\alpha}\\left(w,w\\right)f\\left(w\\right)dV(w) \\] on fat Hartogs triangles $\\Omega_{k}:=\\left\\{ \\left(z_{1},z_{2}\\right)\\in\\mathbb{C}^{2}:\\left|z_{1}\\right|^{k}<\\left|z_{2}\\right|<1\\right\\} $, where $\\alpha\\in\\mathbb{R}$ and $k\\in \\mathbb Z^+$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.09174","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}