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


Kassymov A. Zaur G.
June 2025Springer

Journal of Mathematical Sciences (United States)
2025#291Issue 2253 - 273 pp.

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.



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Institute of Mathematics and Mathematical Modeling, 125, Pushkin St., Almaty, 050010, Kazakhstan
Al-Farabi Kazakh National University, 71, Al-Farabi Av., Almaty, 050040, Kazakhstan
Ghent University, 281, Krijgslaan, Building S8, Ghent, B 9000, Belgium

Institute of Mathematics and Mathematical Modeling
Al-Farabi Kazakh National University
Ghent University

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