{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:5Z5OWLAV2MY4BBMUXPQGB4C7OY","short_pith_number":"pith:5Z5OWLAV","schema_version":"1.0","canonical_sha256":"ee7aeb2c15d331c08594bbe060f05f760e4e33413690595b8fe77c793947fd9a","source":{"kind":"arxiv","id":"1612.05789","version":1},"attestation_state":"computed","paper":{"title":"Two weighted estimates for generalized fractional maximal operators on non homogeneous spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Gladis Pradolini, Jorgelina Recchi","submitted_at":"2016-12-17T16:24:14Z","abstract_excerpt":"Let $\\mu$ be a non-negative Borel measure on $R^d$ satisfying that the measure of a cube in $R^d$ is smaller than the length of its side raised to the $n$-th power, $0<n\\leq d$. In this article we study the class of weights related to the boundedness of radial fractional type maximal operator associated to a Young function $B$ in the context of non-homogeneous spaces related with the measure $\\mu$. This type of maximal operators are the adequate operators related with commutators of singular and fractional operators. Particularly, we give an improvement of a two weighted result for certain fra"},"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":"1612.05789","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-12-17T16:24:14Z","cross_cats_sorted":[],"title_canon_sha256":"77938f1a4f2931de6d9638def9cd29748666b5f6d96e1f7f6fd8df5dc8326dc2","abstract_canon_sha256":"7e74b0f82ce55756ed4adab5ff1a53aa4e39b7e2dc88ff124e3e6618893fd940"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:46.721942Z","signature_b64":"++w5RvaMmD8IG+z+1ttJgUrHE4ctobMI06GkYYQ2xfxeItZrq60Mow4VhW+kuds3pudl3W1TLRAcCV7sGvUNBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ee7aeb2c15d331c08594bbe060f05f760e4e33413690595b8fe77c793947fd9a","last_reissued_at":"2026-05-18T00:54:46.721433Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:46.721433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Two weighted estimates for generalized fractional maximal operators on non homogeneous spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Gladis Pradolini, Jorgelina Recchi","submitted_at":"2016-12-17T16:24:14Z","abstract_excerpt":"Let $\\mu$ be a non-negative Borel measure on $R^d$ satisfying that the measure of a cube in $R^d$ is smaller than the length of its side raised to the $n$-th power, $0<n\\leq d$. In this article we study the class of weights related to the boundedness of radial fractional type maximal operator associated to a Young function $B$ in the context of non-homogeneous spaces related with the measure $\\mu$. This type of maximal operators are the adequate operators related with commutators of singular and fractional operators. Particularly, we give an improvement of a two weighted result for certain fra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.05789","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1612.05789","created_at":"2026-05-18T00:54:46.721519+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.05789v1","created_at":"2026-05-18T00:54:46.721519+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.05789","created_at":"2026-05-18T00:54:46.721519+00:00"},{"alias_kind":"pith_short_12","alias_value":"5Z5OWLAV2MY4","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_16","alias_value":"5Z5OWLAV2MY4BBMU","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_8","alias_value":"5Z5OWLAV","created_at":"2026-05-18T12:30:01.593930+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/5Z5OWLAV2MY4BBMUXPQGB4C7OY","json":"https://pith.science/pith/5Z5OWLAV2MY4BBMUXPQGB4C7OY.json","graph_json":"https://pith.science/api/pith-number/5Z5OWLAV2MY4BBMUXPQGB4C7OY/graph.json","events_json":"https://pith.science/api/pith-number/5Z5OWLAV2MY4BBMUXPQGB4C7OY/events.json","paper":"https://pith.science/paper/5Z5OWLAV"},"agent_actions":{"view_html":"https://pith.science/pith/5Z5OWLAV2MY4BBMUXPQGB4C7OY","download_json":"https://pith.science/pith/5Z5OWLAV2MY4BBMUXPQGB4C7OY.json","view_paper":"https://pith.science/paper/5Z5OWLAV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.05789&json=true","fetch_graph":"https://pith.science/api/pith-number/5Z5OWLAV2MY4BBMUXPQGB4C7OY/graph.json","fetch_events":"https://pith.science/api/pith-number/5Z5OWLAV2MY4BBMUXPQGB4C7OY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5Z5OWLAV2MY4BBMUXPQGB4C7OY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5Z5OWLAV2MY4BBMUXPQGB4C7OY/action/storage_attestation","attest_author":"https://pith.science/pith/5Z5OWLAV2MY4BBMUXPQGB4C7OY/action/author_attestation","sign_citation":"https://pith.science/pith/5Z5OWLAV2MY4BBMUXPQGB4C7OY/action/citation_signature","submit_replication":"https://pith.science/pith/5Z5OWLAV2MY4BBMUXPQGB4C7OY/action/replication_record"}},"created_at":"2026-05-18T00:54:46.721519+00:00","updated_at":"2026-05-18T00:54:46.721519+00:00"}