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<p>In this paper, we introduce the rearrangement-invariant Morrey spaces. As they are rearrangement-invariant Banach function spaces, we can obtain the mapping properties of the Hardy-Littlewood maximal function, the Fourier transform, the oscillatory integral, the Laplace transform, the Hankel transform and the Fourier integral operators on the rearrangement-invariant Morrey spaces.</p>

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Rearrangement-invariant morrey spaces and applications

  • 期刊论文

  • 发表日期：

    2025年6月28日

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  • Kwok-Pun Ho

摘要

In this paper, we introduce the rearrangement-invariant Morrey spaces. As they are rearrangement-invariant Banach function spaces, we can obtain the mapping properties of the Hardy-Littlewood maximal function, the Fourier transform, the oscillatory integral, the Laplace transform, the Hankel transform and the Fourier integral operators on the rearrangement-invariant Morrey spaces.