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.
Navier–Stokes equations and nonlinear heat equations in modulation spaces with negative derivative indices.Journal of Differential Equations, 248(8):1972–2002, 2010
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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.