Weak type endpoint bounds for Bochner-Riesz multipliers.

Michael Christ

Displaying similar documents to “Weak type endpoint bounds for Bochner-Riesz multipliers.”

Some remarks on Bochner-Riesz means

S. Thangavelu (2000)

Colloquium Mathematicae

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We study $L^{p}$ norm convergence of Bochner-Riesz means $S_{R}^{δ} f$ associated with certain non-negative differential operators. When the kernel $S_{R}^{m} (x, y)$ satisfies a weak estimate for large values of m we prove $L^{p}$ norm convergence of $S_{R}^{δ} f$ for δ > n|1/p-1/2|, 1 < p < ∞, where n is the dimension of the underlying manifold.

A simple proof of the $L^{p}$ continuity of the higher order Riesz transforms with respect to the gaussian measure $γ_{d}$

Liliana Forzani, Roberto Scotto, Wilfredo Urbina (2001)

Séminaire de probabilités de Strasbourg

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The work of José Luis Rubio de Francia (IV).

Anthony Carbery (1991)

Publicacions Matemàtiques

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José Luis and I first met at the famous - and hugely enjoyable 1983 El Escorial conference of which he and Ireneo Peral were the chief organisers, but we did not really discuss mathematics together until the spring and summer of 1985. There is an old question - formally posed by Stein in the proceedings of the 1978 Williamstown conference [St] - concerning the disc multiplier and the Bochner-Riesz means.

On Limiting Case of the Stein-Weiss Type Inequality for the B-Riesz Potentials

Guliyev, Emin (2009)

Fractional Calculus and Applied Analysis

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Mathematics Subject Classification: Primary 42B20, 42B25, 42B35 In this paper we study the Riesz potentials (B-Riesz potentials) generated by the Laplace-Bessel differential operator ∆B [...]. We establish an inequality of Stein-Weiss type for the B-Riesz potentials in the limiting case, and obtain the boundedness of the B-Riesz potential operator from the space Lp,|x|β,γ to BMO|x|−λ,γ. * Emin Guliyev’s research partially supported by the grant of INTAS YS Collaborative...