Endpoint estimates and optimality for the generalized spherical maximal operator on radial functions
Endpoint estimates and optimality for the generalized spherical maximal operator on radial functions
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Ithaca: Cornell University Library, arXiv.org
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English
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Ithaca: Cornell University Library, arXiv.org
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We find sharp conditions for the maximal operator associated with generalized spherical mean Radon transform on radial functions \(M^{\a,\b}_t\) to be bounded on power weighted Lebesgue spaces. Moreover, we also obtain the corresponding endpoint results in terms of optimal power weighted weak and restricted weak type estimates.
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Endpoint estimates and optimality for the generalized spherical maximal operator on radial functions
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TN_cdi_proquest_journals_2616482935
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2616482935
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E-ISSN
2331-8422
DOI
10.48550/arxiv.2201.00327