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Singular spherical maximal operators on a class of degenerate two-step nilpotent Lie groups - MaRDI portal

Singular spherical maximal operators on a class of degenerate two-step nilpotent Lie groups (Q6038688)

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scientific article; zbMATH DE number 7681291
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Singular spherical maximal operators on a class of degenerate two-step nilpotent Lie groups
scientific article; zbMATH DE number 7681291

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    Singular spherical maximal operators on a class of degenerate two-step nilpotent Lie groups (English)
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    2 May 2023
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    In this paper, the authors prove that when $d\geq 4$, the maximal operator $M$ is bounded on $L^p(G)$ for the range $(d-1)/(d-2)<p\leq\infty$.
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    singular spherical maximal operator
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    degenerate two step nilpotent Lie groups
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    Gaussian curvature
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    oscillatory integrals
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