dc.contributor.author
Dai, F.
dc.contributor.author
Feng, H.
dc.contributor.author
Tikhonov, S.
dc.date.accessioned
2021-03-18T23:42:30Z
dc.date.accessioned
2024-09-19T14:29:34Z
dc.date.available
2021-03-18T23:42:30Z
dc.date.available
2024-09-19T14:29:34Z
dc.date.created
2016-01-01
dc.date.issued
2016-01-01
dc.identifier.uri
http://hdl.handle.net/2072/445761
dc.description.abstract
This paper determines the sharp asymptotic order of the following reverse Holder inequality for spherical harmonics Yn of degree n on the unit sphere Sd-1 of Rd as n→∞: ║Yn║Lq(sd-1)≤Cnα(p,q)║Yn║Lp(Sd-1), 0 <p<q ≤∞. In many cases, these sharp estimates turn out to be significantly better than the corresponding estimates in the Nikolskii inequality for spherical polynomials. Furthermore, they allow us to improve two recent results on the restriction conjecture and the sharp Pitt inequalities for the Fourier transform on Rd. © 2015 American Mathematical Society.
eng
dc.format.extent
11 p.
cat
dc.publisher
American Mathematical Society
cat
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.title
Reverse hölders inequality for spherical harmonics
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/publishedVersion
cat
dc.embargo.terms
12 mesos
cat
dc.identifier.doi
10.1090/proc/12986
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
