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In result, we characterize all weight functions $w,v,u$ on $(0,\\infty)$ for which there exists a constant $C$ such that the inequality $$ \\left(\\int_0^{\\infty}\\left(\\int_t^\\infty \\left(\\int_s^{\\infty}h(y)\\,\\text{d}y\\right)^mu(s) \\,\\text{d}s\\right)^{\\frac{q}{m}}w(t)\\,\\text{d}t\\right)^{\\frac{1}{q}} \\le C \\left(\\int_0^{\\infty}h(t)^pv(t)\\,\\text{d}t\\right)^{\\frac{1}{p}} $$ holds for e"},"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":"1806.04909","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-06-13T09:17:48Z","cross_cats_sorted":[],"title_canon_sha256":"7d525c90e33dc619a9673773e373a8d69ffd66916fb3a4fdf917fcf8d7108e71","abstract_canon_sha256":"97ff8b7c30d404425c93ef78686030b21b95328b2a8fec276839daf92331dce0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:07.401461Z","signature_b64":"/4Ubq4yS84n6Z9PgYgGVygcHNfR20MMlfMMJww3PE6JMIptBO7my3EwVzHJFtupbi0eN2Ou+LiumBz5Oi/TtAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"69cd21a154254a4ba1f12ecdba090fcec176f28a023f26edfa78e007a4efd29b","last_reissued_at":"2026-05-17T23:47:07.400839Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:07.400839Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Weighted inequalities for iterated Copson integral operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Lubo\\v{s} Pick, Martin K\\v{r}epela","submitted_at":"2018-06-13T09:17:48Z","abstract_excerpt":"We solve a long-standing open problem in theory of weighted inequalities concerning iterated Copson operators. 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