{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:R2SKFCZAA3GDCI537KAU333ZHT","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":"f7321aaa7aeb09932b77cd0a3800470c7e9b1db345905be47b1fda259f00fb42","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-03-31T08:58:46Z","title_canon_sha256":"932e94da808339822b6a27feb0edb974b2e45224fa01a7aa1c391b6885dd7c13"},"schema_version":"1.0","source":{"id":"1904.00359","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.00359","created_at":"2026-05-17T23:49:48Z"},{"alias_kind":"arxiv_version","alias_value":"1904.00359v1","created_at":"2026-05-17T23:49:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.00359","created_at":"2026-05-17T23:49:48Z"},{"alias_kind":"pith_short_12","alias_value":"R2SKFCZAA3GD","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"R2SKFCZAA3GDCI53","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"R2SKFCZA","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:cff21e137168895d128ea554d5a60e6a42dfe445e705336d51d76d1da68942f1","target":"graph","created_at":"2026-05-17T23:49:48Z","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 completely characterize the boundedness of the Volterra type integration operators $J_b$ acting from the weighted Bergman spaces $A^p_\\alpha$ to the Hardy spaces $H^q$ of the unit ball of $\\mathbb{C}^n$ for all $0<p,q<\\infty$. A partial solution to the case $n=1$ was previously obtained by Z. Wu in \\cite{Wu}. We solve the cases left open there and extend all the results to the setting of arbitrary complex dimension $n$. Our tools involve area methods from harmonic analysis, Carleson measures and Kahane-Khinchine type inequalities, factorization tricks for tent spaces of sequences, as well a","authors_text":"Antti Per\\\"al\\\"a, Jordi Pau, Maofa Wang, Santeri Miihkinen","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-03-31T08:58:46Z","title":"Volterra type integration operators from Bergman spaces to Hardy spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.00359","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":"sha256:3a7bb30d5f9db56285e07810685259b2a3960ac5cd8d555f642a62fe57b648b5","target":"record","created_at":"2026-05-17T23:49:48Z","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":"f7321aaa7aeb09932b77cd0a3800470c7e9b1db345905be47b1fda259f00fb42","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-03-31T08:58:46Z","title_canon_sha256":"932e94da808339822b6a27feb0edb974b2e45224fa01a7aa1c391b6885dd7c13"},"schema_version":"1.0","source":{"id":"1904.00359","kind":"arxiv","version":1}},"canonical_sha256":"8ea4a28b2006cc3123bbfa814def793cd5bf6737204410cd58f7033f1c323e36","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ea4a28b2006cc3123bbfa814def793cd5bf6737204410cd58f7033f1c323e36","first_computed_at":"2026-05-17T23:49:48.610610Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:48.610610Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4NTrwFIMyJOGZek5VUpmFq7Yy76+27X0WOouWFlhjPyJT/dM08Wci1uU/fk1XOLew8O3ECiuHp7vINA43WlFCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:48.611210Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.00359","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a7bb30d5f9db56285e07810685259b2a3960ac5cd8d555f642a62fe57b648b5","sha256:cff21e137168895d128ea554d5a60e6a42dfe445e705336d51d76d1da68942f1"],"state_sha256":"d9d9c792cf9e29fcf36331dc1d3b6f2f1743b656333a0ef9d8be73250e7cdb7a"}