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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

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2616482935

Endpoint estimates and optimality for the generalized spherical maximal operator on radial functions

About this item

Full title

Endpoint estimates and optimality for the generalized spherical maximal operator on radial functions

Publisher

Ithaca: Cornell University Library, arXiv.org

Journal title

arXiv.org, 2023-01

Language

English

Formats

Publication information

Publisher

Ithaca: Cornell University Library, arXiv.org

More information

Scope and Contents

Contents

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.

Alternative Titles

Full title

Endpoint estimates and optimality for the generalized spherical maximal operator on radial functions

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_proquest_journals_2616482935

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2616482935

Other Identifiers

E-ISSN

2331-8422

DOI

10.48550/arxiv.2201.00327

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