Boundedness of Sparse and Rough Operators on Weighted Lorentz Spaces

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS（2021）

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摘要

We present new estimates in the setting of weighted Lorentz spaces for important operators in Harmonic Analysis such as sparse operators, Bochner–Riesz at the critical index, Hörmander multipliers and rough singular integrals among others.

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关键词

Weights, Restricted weak type Rubio de Francia extrapolation, Weighted Lorentz spaces, Hardy&#8211, Littlewood maximal operator

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