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Hardy-Littlewood inequality for \(H_p(S^{d-1})\)

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Publication:387254
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DOI10.1016/j.jat.2013.02.001zbMath1288.26016OpenAlexW318387805MaRDI QIDQ387254

Z. Ditzian

Publication date: 20 December 2013

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2013.02.001


zbMATH Keywords

Hardy-Littlewood inequalityHardy space on the unit sphere


Mathematics Subject Classification ID

(H^p)-spaces (42B30) Inequalities for sums, series and integrals (26D15)


Related Items (1)

Expansion by orthogonal systems with respect to Freud weights related to Hardy spaces



Cites Work

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  • Strong convergence of spherical harmonic expansions on \(H^{1}(\mathbf {S}^{d-1})\)
  • Smoothness of a function and the growth of its Fourier transform or its Fourier coefficients
  • Relating smoothness to expressions involving Fourier coefficients or to a Fourier transform


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