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The Hardy-Littlewood maximal function and weighted Lorentz spaces

Journal of the London Mathematical Society (1997) 55(1) 146-158
DOI: 10.1112/S0024610796004462
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Abstract

We study the boundedness of the Hardy-Littlewood maximal function in weighted Lorentz spaces, using some new techniques on distribution and rearrangement functions. Our goal is to give a unified version of some well-known weighted inequalities in ℝn and ℝ+, showing the relation between the theories.

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Carro, M. J., & Soria, J. (1997). The Hardy-Littlewood maximal function and weighted Lorentz spaces. Journal of the London Mathematical Society, 55(1), 146–158. https://doi.org/10.1112/S0024610796004462

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