Sharp estimates for the Bochner-Riesz operator of negative order in $\mathbf {R}^2$

DOI10.1090/S0002-9939-97-03723-4zbMath0871.42012MaRDI QIDQ4339174

Jong-Guk Bak

Publication date: 5 June 1997

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

zbMATH Keywords

boundednessBochner-Riesz operator

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15)

Related Items

Time-harmonic solutions for Maxwell's equations in anisotropic media and Bochner-Riesz estimates with negative index for non-elliptic surfaces ⋮ Uniform Sobolev inequalities for second order non-elliptic differential operators ⋮ Sharp \(L^p\)-\(L^q\) estimate for the spectral projection associated with the twisted Laplacian ⋮ Carleman estimates and boundedness of associated multiplier operators ⋮ The bilinear Bochner-Riesz problem ⋮ Endpoint sparse domination for classes of multiplier transformations ⋮ Bounds on the Hermite spectral projection operator ⋮ Carleman inequalities and unique continuation for the polyharmonic operators ⋮ Sharp bounds for multiplier operators of negative indices associated with degenerate curves ⋮ Bilinear embedding theorems for differential operators in \(\mathbb{R}^2\) ⋮ An annulus multiplier and applications to the limiting absorption principle for Helmholtz equations with a step potential ⋮ Sparse bounds for Bochner-Riesz multipliers ⋮ Sharp resolvent estimates outside of the uniform boundedness range ⋮ Sharp \(L^p-L^q\) estimates for Bochner--Riesz operators of negative index in \({\mathbb R}^n\), \(n\geqslant 3\) ⋮ Spherical means and the restriction phenomenon ⋮ Improved bound for the bilinear Bochner-Riesz operator ⋮ Restrictions of higher derivatives of the Fourier transform ⋮ BOUNDS FOR A CONE-TYPE MULTIPLIER OPERATOR OF NEGATIVE INDEX IN

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