{"paper":{"title":"Bergman-Toeplitz operators on weakly pseudoconvex domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.FA"],"primary_cat":"math.CV","authors_text":"Jiakun Liu, Phung Trong Thuc, Tran Vu Khanh","submitted_at":"2017-10-30T03:49:26Z","abstract_excerpt":"We prove that for certain classes of pseudoconvex domains of finite type, the Bergman-Toeplitz operator $T_{\\psi}$ with symbol $\\psi=K^{-\\alpha}$ maps from $L^{p}$ to $L^{q}$ continuously with $1< p\\le q<\\infty$ if and only if $\\alpha\\ge\\frac{1}{p}-\\frac{1}{q}$, where $K$ is the Bergman kernel on diagonal.\n  This work generalises the results on strongly pseudoconvex domains by \\v{C}u\\v{c}kovi\\'{c} and McNeal, and Abeta, Raissy and Saracco."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.10761","kind":"arxiv","version":2},"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"}