{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:FE253JYZFAVSA5SH2ZCDOQHAYT","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"39fd5a8cdb94dcc75320c0a1d15002fcdfc9cc2b2810a33d62702c17eb923847","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-03-22T21:20:06Z","title_canon_sha256":"e7af3ecb045d0086c984fc3bac93e91ab47a3ddacf083b86291109045fdf534e"},"schema_version":"1.0","source":{"id":"1703.07859","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.07859","created_at":"2026-05-18T00:48:04Z"},{"alias_kind":"arxiv_version","alias_value":"1703.07859v1","created_at":"2026-05-18T00:48:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.07859","created_at":"2026-05-18T00:48:04Z"},{"alias_kind":"pith_short_12","alias_value":"FE253JYZFAVS","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FE253JYZFAVSA5SH","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FE253JYZ","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:9f6e9c0af0e1103450f73245ae2861786eb54f8a5b63d4a028c7c887791c1ecd","target":"graph","created_at":"2026-05-18T00:48:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study Bergman-Lorentz spaces on tube domains over symmetric cones, i.e. spaces of holomorphic functions which belong to Lorentz spaces $L(p, q).$ We establish boundedness and surjectivity of Bergman projectors from Lorentz spaces to the corresponding Bergman-Lorentz spaces and real interpolation between Bergman-Lorentz spaces. Finally we ask a question whose positive answer would enlarge the interval of parameters $p\\in (1, \\infty)$ such that the relevant Bergman projector is bounded on $L^p$ for cones of rank $r\\geq 3.$","authors_text":"Cyrille Nana, David Bekolle, Jocelyn","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-03-22T21:20:06Z","title":"Bergman-Lorentz spaces on tube domains over symmetric cones"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.07859","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ac54ba8fc7f5dc5b5afaf8db4f8746a75ec7da1ca8ed77d6b1649ed59f141f6c","target":"record","created_at":"2026-05-18T00:48:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"39fd5a8cdb94dcc75320c0a1d15002fcdfc9cc2b2810a33d62702c17eb923847","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-03-22T21:20:06Z","title_canon_sha256":"e7af3ecb045d0086c984fc3bac93e91ab47a3ddacf083b86291109045fdf534e"},"schema_version":"1.0","source":{"id":"1703.07859","kind":"arxiv","version":1}},"canonical_sha256":"2935dda719282b207647d6443740e0c4fcb5ba3765b1fcb4445e506de0d123ba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2935dda719282b207647d6443740e0c4fcb5ba3765b1fcb4445e506de0d123ba","first_computed_at":"2026-05-18T00:48:04.616785Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:04.616785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4Vhz8oQEvlsvjl94dg/7nBxdHwaR22YO4kl1ZofL/EkegfqTF7UmCRbBSceRt7OrlgcdThbXmU2mfdED0uDeBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:04.617395Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.07859","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac54ba8fc7f5dc5b5afaf8db4f8746a75ec7da1ca8ed77d6b1649ed59f141f6c","sha256:9f6e9c0af0e1103450f73245ae2861786eb54f8a5b63d4a028c7c887791c1ecd"],"state_sha256":"08e67a637283302dc512aebbee9af2aea42a38840a76515543e7f411127d2746"}