{"id":"https://openalex.org/W7221506533","doi":"https://doi.org/10.48550/arxiv.2610.13326","title":"Sharp power-weight estimates for the fractional spherical maximal operator","display_name":"Sharp power-weight estimates for the fractional spherical maximal operator","publication_year":2026,"publication_date":"2026-10-09","ids":{"openalex":"https://openalex.org/W7221506533","doi":"https://doi.org/10.48550/arxiv.2610.13326"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.13326","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.13326","pdf_url":"https://arxiv.org/pdf/2610.13326","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.13326","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072866057","display_name":"Riju Basak","orcid":"https://orcid.org/0000-0002-8360-2896","observed_orcids":["https://orcid.org/0000-0002-8360-2896"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Basak, Riju","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074818349","display_name":"Surjeet Singh Choudhary","orcid":"https://orcid.org/0009-0005-2351-4797","observed_orcids":["https://orcid.org/0009-0005-2351-4797"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Choudhary, Surjeet Singh","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022075215","display_name":"Chun\u2010Yen Shen","orcid":"https://orcid.org/0000-0003-0888-3007","observed_orcids":["https://orcid.org/0000-0003-0888-3007"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shen, Chun-Yen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5112548185","display_name":"Daniel Spector","orcid":"https://orcid.org/0009-0003-9937-8758","observed_orcids":["https://orcid.org/0009-0003-9937-8758"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Spector, Daniel","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/weighted-norm-inequalities","display_name":"weighted inequalities","score":0.6819999814033508},{"id":"https://openalex.org/keywords/spherical-means","display_name":"spherical means","score":0.5929999947547913}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5329999923706055},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48350000381469727},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4526999890804291},{"id":"https://openalex.org/C3018319951","wikidata":"https://www.wikidata.org/wiki/Q6795639","display_name":"Maximal operator","level":3,"score":0.35510000586509705},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3294999897480011},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.30820000171661377},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.3028999865055084},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.2567000091075897},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.24070000648498535},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.2378000020980835}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.13326","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.13326","pdf_url":"https://arxiv.org/pdf/2610.13326","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2610.13326","doi":"https://doi.org/10.48550/arxiv.2610.13326","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.13326","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.13326","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.13326","pdf_url":"https://arxiv.org/pdf/2610.13326","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F2461203286","display_name":"National Science and Technology Council","ror":"https://ror.org/02kv4zf79"},{"id":"https://openalex.org/F4320311041","display_name":"National Center for Theoretical Sciences","ror":"https://ror.org/02mfp0b67"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7221506533.pdf","grobid_xml":"https://content.openalex.org/works/W7221506533.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1491875001","https://openalex.org/W1513269683","https://openalex.org/W1579447046","https://openalex.org/W1979653193","https://openalex.org/W1996045241","https://openalex.org/W2037246756","https://openalex.org/W2040087694","https://openalex.org/W2052150574","https://openalex.org/W2089492746","https://openalex.org/W2147818839","https://openalex.org/W2165169461","https://openalex.org/W2320949083","https://openalex.org/W2334523091","https://openalex.org/W2594607553","https://openalex.org/W4381793833","https://openalex.org/W4411200591","https://openalex.org/W4416344052","https://openalex.org/W7130697623","https://openalex.org/W7157856806"],"related_works":["https://openalex.org/W4406188600","https://openalex.org/W4298153780","https://openalex.org/W755611637","https://openalex.org/W2950573152","https://openalex.org/W2567176088","https://openalex.org/W591733108","https://openalex.org/W2037246756","https://openalex.org/W7156034175","https://openalex.org/W2963705597","https://openalex.org/W2366718227"],"abstract_inverted_index":{"For":[0],"$0\\leq\u03b1":[1]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-13T00:00:00"}