Nikolskii inequality for lacunary spherical polynomials

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Use this identifier to quote or link this document: http://hdl.handle.net/2072/446129

dc.contributor.author	Dai, F.
dc.contributor.author	Gorbachev, D.
dc.contributor.author	Tikhonov, S.
dc.date.accessioned	2021-03-19T08:55:52Z
dc.date.available	2021-03-19T08:55:52Z
dc.date.created	2020-01-01
dc.date.issued	2020-01-01
dc.identifier.uri	http://hdl.handle.net/2072/446129
dc.format.extent	6 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	Nikolskii inequality for lacunary spherical polynomials
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/14775
dc.rights.accessLevel	info:eu-repo/semantics/openAccess
dc.description.abstract	We prove that for d = 2, the asymptotic order of the usual Nikolskii inequality on Sd (also known as the reverse Hölder inequality) can be significantly improved in many cases, for lacunary spherical polynomials of the form f = Σm j=0 fnj with fnj being a spherical harmonic of degree nj and nj+1 - nj ≥ 3. As is well known, for d = 1, the Nikolskii inequality for trigonometric polynomials on the unit circle does not have such a phenomenon. © 2019 American Mathematical Society.

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