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Our approach exploits L^2 weighted estimates with \"extra weights\" depending only on the second factor of $R^{d_1} \\times R^{d_2}$ (in contrast with the mentioned work, where the \"extra weights\" depend on the first factor) and gives a new unified proof of the sharp results without restrictions on the dimensions."},"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":"1210.3564","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-10-12T16:20:39Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"4ccd3296309bfc5d22787aaa79aeeed329ad73286176b71564178d3b07ad4372","abstract_canon_sha256":"f7e6a12aabc8cfce58f73cc2a19d201c5fa4ad9f840321408bd1e07ea053cc54"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:23.012603Z","signature_b64":"mpperNRCf06FUurW4z/mgkqCdbget3nptfOmKbVLTQZ8b0EYpvj6IYfSxFSYY+iBqQh+fcu+2dKOKR9aO69aCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d6031a0778850a45f77bea6c6be0a0676683e1451e88502604a03fcd96e88bde","last_reissued_at":"2026-05-18T02:30:23.012177Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:23.012177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A sharp multiplier theorem for Grushin operators in arbitrary dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.AP","authors_text":"Alessio Martini, Detlef M\\\"uller","submitted_at":"2012-10-12T16:20:39Z","abstract_excerpt":"In a recent work by A. 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