Reverse hölders inequality for spherical harmonics

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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.available	2021-03-18T23:42:30Z
dc.date.created	2016-01-01
dc.date.issued	2016-01-01
dc.identifier.uri	http://hdl.handle.net/2072/445761
dc.format.extent	11 p.
dc.language.iso	eng
dc.publisher	American Mathematical Society
dc.source	RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other	51
dc.title	Reverse hölders inequality for spherical harmonics
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.embargo.terms	12 mesos
dc.identifier.doi	10.1090/proc/12986
dc.rights.accessLevel	info:eu-repo/semantics/openAccess
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.

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