Titlebook: Extended Abstracts 2021/2022; Ghent Analysis and P Michael Ruzhansky,Karel Van Bockstal Book 2024 The Editor(s) (if applicable) and The Aut

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The Curious Case of the Two Audiences,This note studies gradient Yamabe solitons realised as warped metrics. First, we prove that the potential function and the scalar curvature depend solely on the product on the base. Building on this, we establish some results by analysing the warped function.

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Mónica Roncancio-Moreno,Elsa de MattosIn this paper, we prove a version of the logarithmic Sobolev inequality of fractional order on noncommutative .-tori for any dimension ..

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ORBIT

Schatten-von Neumann Classes ,) on the Torus for We provide a sharp sufficient condition on the symbol of a pseudo-differential operator on the torus . in order to guarantee its membership in the Schatten-von Neumann ideals . for lower orders of . namely when

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Logarithmic Sobolev Inequalities of Fractional Order on Noncommutative ToriIn this paper, we prove a version of the logarithmic Sobolev inequality of fractional order on noncommutative .-tori for any dimension ..