A note on restricted weak-type estimates for Bochner-Riesz operators with negative index in $\mathbb {R}^n$, $n\ge 2$
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Publication:4699539
DOI10.1090/S0002-9939-99-05144-8zbMath0932.42016OpenAlexW1838605309MaRDI QIDQ4699539
Publication date: 17 November 1999
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-99-05144-8
Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)
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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 ⋮ Carleman estimates and boundedness of associated multiplier operators ⋮ Resolvent estimates for time-harmonic Maxwell's equations in the partially anisotropic case ⋮ 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 ⋮ 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 \({\mathbb R}^n\), \(n\geqslant 3\) ⋮ Endpoint uniform Sobolev inequalities for elliptic operators with applications ⋮ BOUNDS FOR A CONE-TYPE MULTIPLIER OPERATOR OF NEGATIVE INDEX IN
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