{"paper":{"title":"On Hardy spaces associated with the twisted Laplacian and sharp estimates for the corresponding wave operator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.CA"],"primary_cat":"math.FA","authors_text":"K. Jotsaroop, Riju Basak","submitted_at":"2025-08-30T02:58:05Z","abstract_excerpt":"We prove various equivalent characterisations of the Hardy space $H^p_{\\mathcal{L}}(\\mathbb{C}^n)$ for $0<p<1$ associated with the twisted Laplacian $\\mathcal{L}$ which generalises the result of [MPR81] for the case $p=1$. Using the atomic characterisation of $H^p_{\\mathcal{L}}(\\mathbb{C}^n)$ corresponding to the twisted convolution, we prove sharp boundedness result for the wave operator $\\mathcal{L}^{-\\delta/2}e^{\\pm it\\sqrt{\\mathcal{L}}}$ for a fixed $t>0$ on $H^p_{\\mathcal{L}}(\\mathbb{C}^n)$. More precisely we prove that it is a bounded operator from $H^p_{\\mathcal{L}}(\\mathbb{C}^n)$ to $L"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.00327","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2509.00327/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}