Characterizes weighted modulation spaces allowing pointwise convergence of heat and Hermite-heat semigroups to initial data as t approaches zero, plus boundedness of the Hardy-Littlewood maximal operator on certain modulation spaces.
Anhar- monic semigroups and applications to global well-posedness of nonlinear heat equations.arXiv e-prints, page arXiv:2401.13750, January 2024
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Pointwise convergence to initial data of heat and Hermite-heat equations in Modulation Spaces
Characterizes weighted modulation spaces allowing pointwise convergence of heat and Hermite-heat semigroups to initial data as t approaches zero, plus boundedness of the Hardy-Littlewood maximal operator on certain modulation spaces.