Weighted estimates for Bochner-Riesz operators on Lorentz spaces

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS(2023)

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摘要
We present new estimates in the setting of weighted Lorentz spaces of operators satisfying a limited Rubio de Francia condition; namely T is bounded on L-p(v) for every v in an strictly smaller class of weights than the Muckenhoupt class A(p). Important examples will be the Bochner-Riesz operators BR lambda with 0 < lambda. < (n - 1)/2, sparse operators, Hormander multipliers with a limited regularity condition and rough operators with Omega is an element of L-r(Sigma), 1 < r < infinity.
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关键词
Bochner-Riesz operators, weighted classical Lorentz spaces, Muckenhoupt weights, restricted weak type extrapolation, Hormander multipliers, rough operators
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