Reverse Hölder’s inequality for spherical harmonics

DOI10.1090/proc/12986zbMath1366.33009arXiv1408.1877OpenAlexW2181029891MaRDI QIDQ2790180

Feng Dai, Han Feng, Sergey Yu. Tikhonov

Publication date: 3 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.1877

zbMATH Keywords

spherical harmonicsrestriction theoremspolynomial inequalitiesPitt inequality

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Spherical harmonics (33C55) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (5)

Inequalities related to spherical harmonics associated with the Weinstein operator ⋮ Weighted fractional Bernstein's inequalities and their applications ⋮ Remez-type and Nikol'skii-type inequalities: general relations and the hyperbolic cross polynomials ⋮ Nikolskii inequality for lacunary spherical polynomials ⋮ Polynomial inequalities in Lebesgue spaces with variable exponents on the sphere

Cites Work

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• Combinations of multivariate averages
• Oscillatory integrals and spherical harmonics
• On the restriction conjecture
• Pitt and Boas inequalities for Fourier and Hankel transforms
• Reverse Holder Inequalities for Spherical Harmonics
• On the L⁴ norm of spherical harmonics
• Approximation Theory and Harmonic Analysis on Spheres and Balls

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