{"paper":{"title":"Toeplitz Operators and Skew Carleson measures for weighted Bergman spaces on strongly pseudoconvex domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.CV","authors_text":"Jasmin Raissy, Marco Abate, Samuele Mongodi","submitted_at":"2019-05-29T15:31:35Z","abstract_excerpt":"In this paper we study mapping properties of Toeplitz-like operators on weighted Bergman spaces of bounded strongly pseudconvex domains in $\\mathbb{C}^n$. In particular we prove that a Toeplitz operator built using as kernel a weighted Bergman kernel of weight $\\beta$ and integrating against a measure $\\mu$ maps continuously (when $\\beta$ is large enough) a weighted Bergman space $A^{p_1}_{\\alpha_1}(D)$ into a weighted Bergman space $A^{p_2}_{\\alpha_2}(D)$ if and only if $\\mu$ is a $(\\lambda,\\gamma)$-skew Carleson measure, where $\\lambda=1+\\frac{1}{p_1}-\\frac{1}{p_2}$ and $\\gamma=\\frac{1}{\\lam"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.13056","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"}