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20222026
most citedGlobal hypoellipticity on time-periodic Gelfand-Shilov spaces via non-discrete Fourier analysis

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math.AP2026

Sobolev Regularity in Mixed and Isotropic Scales for Vector Fields on the Torus

Fernando de Ávila Silva, Alexandre Kirilov, André Pedroso Kowacs

We study regularity, existence, and uniqueness of solutions to vector fields on the two-dimensional torus in Sobolev spaces of dominating mixed smoothness, which measure regularity…

math.SP2026

Lieb-Thirring inequalities for the Dirac operator on spheres

Uwe Kähler, André Pedroso Kowacs, Michael Ruzhansky

In this paper, we obtain bounds for the best constants in two inequalities which can be seen as analogues of the Lieb-Thirring inequality, but with the Dirac operator, on the s…