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<p>We establish the Stein–Weiss–Adams inequality for generalized global Morrey spaces and prove its weak type version. We present the weighted Hardy, Hardy–Sovolev, Rellich inequalities and uncertainty principle on stratified groups, integer and fractional weighted Hardy and Hardy–Sobolev inequalities in the Euclidean setting.</p>

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The Stein–Weiss–Adams Inequality for Generalized Morrey Spaces on Homogeneous Lie Groups

  • 期刊论文

  • 发表日期：

    2025年6月21日

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  • Aidyn Kassymov,
  • Gulnur Zaur

摘要

We establish the Stein–Weiss–Adams inequality for generalized global Morrey spaces and prove its weak type version. We present the weighted Hardy, Hardy–Sovolev, Rellich inequalities and uncertainty principle on stratified groups, integer and fractional weighted Hardy and Hardy–Sobolev inequalities in the Euclidean setting.