{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:MDADEF456ZIF5OKU2XIORS2N4A","short_pith_number":"pith:MDADEF45","schema_version":"1.0","canonical_sha256":"60c032179df6505eb954d5d0e8cb4de02429343d292941540d84d4a937dd606c","source":{"kind":"arxiv","id":"0901.0366","version":3},"attestation_state":"computed","paper":{"title":"Riemann-Stieltjes operators and multipliers on $Q_p$ spaces in the unit ball of $C^n$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.CV","authors_text":"Caiheng Ouyang, Ru Peng","submitted_at":"2009-01-04T09:28:05Z","abstract_excerpt":"This paper is devoted to characterizing the Riemann-Stieltjes operators and pointwise multipliers acting on M${\\rm \\ddot{o}}$bius invariant spaces $Q_p$, which unify BMOA and Bloch space in the scale of $p$. The boundedness and compactness of these operators on $Q_p$ spaces are determined by means of an embedding theorem, i.e. $Q_p$ spaces boundedly embedded in the non-isotropic tent type spaces $T_q^\\infty$."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0901.0366","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2009-01-04T09:28:05Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"ef335a9770d73389bc93df1641d753d5f8dce4a034f1e9f302f5eccd0fee2286","abstract_canon_sha256":"a5569b95a67cf974ca709f64756ae41deb841d016274148fc611dc83cc29c650"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:13:55.407297Z","signature_b64":"ysGEikvMnseFdMusF9KtlA/0vSiRnzxGeOclq0yT3MooNBbxmhBZyM5JUryaC08QGy3suyISS6UPYJx6hVk5BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"60c032179df6505eb954d5d0e8cb4de02429343d292941540d84d4a937dd606c","last_reissued_at":"2026-05-18T04:13:55.406826Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:13:55.406826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Riemann-Stieltjes operators and multipliers on $Q_p$ spaces in the unit ball of $C^n$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.CV","authors_text":"Caiheng Ouyang, Ru Peng","submitted_at":"2009-01-04T09:28:05Z","abstract_excerpt":"This paper is devoted to characterizing the Riemann-Stieltjes operators and pointwise multipliers acting on M${\\rm \\ddot{o}}$bius invariant spaces $Q_p$, which unify BMOA and Bloch space in the scale of $p$. The boundedness and compactness of these operators on $Q_p$ spaces are determined by means of an embedding theorem, i.e. $Q_p$ spaces boundedly embedded in the non-isotropic tent type spaces $T_q^\\infty$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.0366","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0901.0366","created_at":"2026-05-18T04:13:55.406899+00:00"},{"alias_kind":"arxiv_version","alias_value":"0901.0366v3","created_at":"2026-05-18T04:13:55.406899+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.0366","created_at":"2026-05-18T04:13:55.406899+00:00"},{"alias_kind":"pith_short_12","alias_value":"MDADEF456ZIF","created_at":"2026-05-18T12:26:00.592388+00:00"},{"alias_kind":"pith_short_16","alias_value":"MDADEF456ZIF5OKU","created_at":"2026-05-18T12:26:00.592388+00:00"},{"alias_kind":"pith_short_8","alias_value":"MDADEF45","created_at":"2026-05-18T12:26:00.592388+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MDADEF456ZIF5OKU2XIORS2N4A","json":"https://pith.science/pith/MDADEF456ZIF5OKU2XIORS2N4A.json","graph_json":"https://pith.science/api/pith-number/MDADEF456ZIF5OKU2XIORS2N4A/graph.json","events_json":"https://pith.science/api/pith-number/MDADEF456ZIF5OKU2XIORS2N4A/events.json","paper":"https://pith.science/paper/MDADEF45"},"agent_actions":{"view_html":"https://pith.science/pith/MDADEF456ZIF5OKU2XIORS2N4A","download_json":"https://pith.science/pith/MDADEF456ZIF5OKU2XIORS2N4A.json","view_paper":"https://pith.science/paper/MDADEF45","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0901.0366&json=true","fetch_graph":"https://pith.science/api/pith-number/MDADEF456ZIF5OKU2XIORS2N4A/graph.json","fetch_events":"https://pith.science/api/pith-number/MDADEF456ZIF5OKU2XIORS2N4A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MDADEF456ZIF5OKU2XIORS2N4A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MDADEF456ZIF5OKU2XIORS2N4A/action/storage_attestation","attest_author":"https://pith.science/pith/MDADEF456ZIF5OKU2XIORS2N4A/action/author_attestation","sign_citation":"https://pith.science/pith/MDADEF456ZIF5OKU2XIORS2N4A/action/citation_signature","submit_replication":"https://pith.science/pith/MDADEF456ZIF5OKU2XIORS2N4A/action/replication_record"}},"created_at":"2026-05-18T04:13:55.406899+00:00","updated_at":"2026-05-18T04:13:55.406899+00:00"}